Solve the simultaneous equations
4x + 5y = 4
2x - y = 9
Show clear algebraic working.

Answers

Answer 1

Answer:

[tex]x= \dfrac 72, ~~y= -2[/tex]

Step by step explanation:

[tex]4x+5y=4~~~...(i)\\\\2x-y=9~~~...(ii)\\\\\text{Multiply eq (ii) by 2 to isolate x:}\\\\4x-2y=18~~~.....(iii)\\\\(iii)-(i):\\\\4x-2y-4x-5y=18-4\\\\\implies -7y=14\\\\\implies y = -\dfrac{14}7 = -2\\\\\text{Substitute}~ y=-2~ \text{in equation (iii):}\\\\4x-2(-2) = 18\\\\\implies 4x +4 = 18\\\\\implies 4x = 18-4\\\\\implies 4x = 14\\\\\implies x = \dfrac{14}4 = \dfrac 72\\\\\text{Hence}~ (x,y) =\left(\dfrac 72 , -2 \right)[/tex]

Answer 2

Step-by-step explanation:

4x+5y=4 (equation 1)

2x-y=9 (equation2)

solving equation 1 and 2 and multiplying equation 2 by 2

4x+5y=4

4x-2y=18

- + -

________

7y= -14

y= -2

putting the value of y in equation 2

2x-y=9

2x+2=9

2x=7

x=3.5


Related Questions

HELLO PLS HELP ME THIS IS DUE TMR AND I DONT UNDERSTAND THE ANSWER

Answers

Answer:

6x+7=13

2/3x+8= 8.66

Step-by-step explanation:

calculator and rule with a compass

Someone help. I don’t understand the question.

Answers

Answer:

9.9

[tex] \: [/tex]

Step-by-step explanation:

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]

Here,

The base is 13.2

The perpendicular is a

The hypotenuse is 16.5

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (13.2) {}^{2} + (a {)}^{2} = (16.5) {}^{2} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 174.24 + (a {)}^{2} = 272.25 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 272.25 -174.24}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 98.01}}} \\ \\ \\ {\longrightarrow \pmb{\sf {\qquad a = \sqrt{98.01}}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad a = 9.9}}} \\ \\[/tex]

Therefore,

The length of the missing side of the right triangle is 9.9


help asap will give brainly .

A drawer is 5 feet wide, 4 feet deep. If the volume is 40, what is the height =

Answers

20 is your answer i believe

I NEED HELP ASAP!!!!!!!!
QUESTION BELOW

Answers

Answer:

Step-by-step explanation:

The perimeter of the surface of a workbook is 46 inches. It is 13 inches tall. How wide is it?

Answers

Answer:188

Step-by-step explanation:

u have to add all the side which is 46+46+13+13=188

Edward counted out 20 cards for a card game. Then he split those cards evenly among the 4 players.

The letter c stands for the number of cards for each player. Which equation can you use to find c?
option
20-4=C
20/4=C

Answers

Answer:

20/4=c

Step-by-step explanation:

You can tell that that is the right answer, because 20-4=c means that each person would get 16 cards, and if you multiply that by 4(the amount of people that are playing) It's way more than 20 cards, so you know that 20/4=c is the right answer. Hope that helped;)

help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

G. Between 6 and 7

Step-by-step explanation:

As 41 lies between the square of 6 and 7

Find the area of the rhombus.

Answers

Step-by-step explanation:

as the graphic shows, we are dealing with a special rhombus : a square.

this is proven by the fact that the angle on one side of the diagonal at the corner is 45°. so, the other side must be 45° too, and so we have 90° angles at the corners.

what is not clear to me is : what is 6 cm long ? a half-diameter, or the whole diameter ?

I assume the half-diameter.

what the graphic is trying to suggest is that we have 4 little right-angled triangles that are also isoceles triangles (their legs are equally long).

every leg is 6 cm long (based on my assumption above).

because they are right-angled, the area of each of these little triangles is leg×leg/2

6×6/2 = 18 cm²

we have 4 triangles, so the total area is

4×18 = 72 cm²

if 6 cm stands for the whole diagonal after all, then the only change is the length of the legs, which would be then 6/2 = 3 cm.

then we would have

3×3/2 = 4.5 cm² for a single triangle

and

4×4.5 = 18 cm² for the whole area.

Which of the following best describes the graph below?
-
A It is a function, but it is not one-to-one
B. It is a one-to-one function
C. It is a many-to-one function
D. It is not a function

Answers

Answer:

B. it is a one-to-one function

Step-by-step explanation:

since the line is curving a bit while passing.


José is painting a backdrop for the school
play. The rectangular backdrop is
60 inches by 45 inches. If his container of
paint can cover 25 square feet, does
he have enough to paint the backdrop?

Answers

Answer:

Definitely not

Step-by-step explanation:

60*45 = 2700 and 2700 square inches converted into feet is 225 square feet


A bag of balloons contains 4 red balloons, 11 green balloons, 15 yellow balloons, and 8 orange balloons. What is the probability that
a randomly selected balloon would be green or orange?

Answers

Answer:

There is motlre chance that a green Ballon will be selected because green Ballon are more than orange

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Find the measure of each angle.
x - 7
X
x + 10

Answers

Answer:

x - 7: 52

x: 59

x + 10: 69

Step-by-step explanation:

Since we have a straight line, we know that the angles must add up to 180. We can set up an equation to solve:

x - 7 + x + x + 10 = 180

Combine like terms:

3x + 3 = 180

Subtract 3 on both sides:

3x = 177

Divide by 3 on both sides:

x = 59

Now plug in 59 for each angle.

The "x - 7" angle should equal 52, the "x" angle should equal 59, and the "x + 10" angle should equal 69.

Answer:

52°, 59°, and 69°

Step-by-step explanation:

Each of these angles add up to make a straight line, or = 180°

(x - 7) + x + (x + 10) = 180

3x + 3 = 180

3x = 177

x = 59

Angle A = 52°

Angle B = 59°

Angle C = 69°

52 + 59 + 69 = 180!

CAN SOMEBODY SOLVE THE EQUATION

Answers

I think it’ll be 1.8(14) (because the number of years from 1998) so 1.8(14) = 25.2

25.2 - 5.7 = 19.5

They will spend 19.5 billion dollars

A certain number added to its square is equal to 90. What is/are the number(s) that work?


Answers

Answer:

9,-10

Step-by-step explanation:

Let u be a number.

[tex]u + {u}^{2} = 90[/tex]

[tex]u {}^{2} + u - 90 = 0[/tex]

[tex](u + 10)(u - 9) = 0[/tex]

[tex]u = - 10[/tex]

or

[tex]u = 9[/tex]

9, -10

9,-10 the guy above got what I got

The fastest helicopter in the world is the CH-47F Chinook, with a maximum speed of 315 km/h. What distance can it fly in 12 minutes?

Answers

Answer:

63 km

Step-by-step explanation:

Given :

Speed = 315 km/hTime = 12 minutes

Solving :

Convert minutes into hours so that the units are equal, otherwise your answer will not be correct.

There are 60 minutes in an hourTherefore, 12 minutes is equal to :12/60 hours1/5 hours0.2 hours

Calculating distance

Distance = Speed x TimeDistance = 315 km/h x 0.2 hDistance = 63 km

Answer:

frist convert 315k/h into m/s

then convert 12min into sce

=12*60

=720

distance = v*t

=315*720

=226800m

how many right angles in this shape the shape is a trapezoid

Answers

Answer:

Two

Step-by-step explanation:

Since two of the angles are 90 degrees, they are right angles.

Answer: There are 2 right anges in a trapizoid

Step-by-step explanation:

1 is on the bottom lieft side 2nd one is on the other is on the bottom right side

Q9.
Solve the simultaneous equations
7x – 2y = 34
3x + 5y = -3
Show clear algebraic working.

Answers

After solving simultaneously we found the values for x and y are

2.76 and 5.65 respectively

Simultaneous Equations

We have the following two expressions

7x – 2y = 34 --------1

3x + 5y = -3 ---------2

Multiply 1 by eqn 5 and eqn 2 by 2

35x - 10y = 170-------3

6x + 10y = -6 ----------4

subtracting 4 from 3 we have

29 x= 164

divide both sides by 29

x = 164/29

x = 5.65

Put x = 5.65 in eqn 1 to find y

7*5.65 – 2y = 34

39.55 - 2y = 34

39.55-34 = 2y

5.55 = 2y

divide both sides by 2

x = 5.55/2

x = 2.76

Learn more about simultaneous equations here:

https://brainly.com/question/16863577

A chef used one-half of a bag of potatoes for a meal. If the potatoes fed 2 people, what
fraction of the bag did each person get?


(Help plss as soon as you can)

Answers

Answer: 1/4

Step-by-step explanation: each person had half of the half of bag.

11. Joe lists his expenses to make a budget. Which of
these is a variable expense?
A. He pays about $400 in rent.
B. He spends $95 a month eating at
restaurants.
C. He pays $250 each month for his car
payment.
D. His cable bill is $40 each month

Answers

Answer:

B

Step-by-step explanation:

Because of inflation, prices at restaurants would go up.

simplify 15a+21b-6a-4

Answers

Answer:

9a+21b-4

Step-by-step explanation:

first of all combine the like terms

15a + 21b - 6a - 4

= 9a + 21b - 4 Ans.

The simplified expression of 15a+21b-6a-4 is 9a+21b-4

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is  15a+21b-6a-4

Fifteen times of a plus twenty one times of b minus six times of a minus four.

a and b are the variables and plus, minus are the operators

Add the like terms in the expression

15a-6a+21b-4

Fifteen times of a and minus six times of a are the like terms.

So add these like terms.

When 15 and -6 are added we get 9

So the expression becomes as Nine times of a plus twenty one times of b minus four.

9a+21b-4

Hence, the simplified expression of 15a+21b-6a-4 is 9a+21b-4

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ7

FIRST GET BRAINIEST PERIODTT TYSMMSMSMMSM

Answers

4+4+6+6=12+8=20

hope this helps

height: 6-2=4 units

length: 9-3=6 units

4×6=24

-> 24 units

help please. I don't know it​

Answers

You start it by multiplying 6 times 4.2 which gives you 25.2 then multiply the value 25.2 four times to get total surface area which is 100.8

John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle?
77 sq ft
75 sq ft
18 ft
36 ft

Answers

Answer:

The area of rectangle is 77 sq ft.

Answer: 77 sq ft

Step-by-step explanation:

An inequality is shown.



Select all the values of that make the inequality true.

Answers

Answer:

2/5

1

3/2

Step-by-step explanation:

Note that:

> = Greater than

< = Less than

≤ = Less than or equal to

≥ = Greater than or equal to

Solution:
Since it given that 27/7n > 4/3

It means that

27/7n is greater than 4/3.

Now going through all answer chioces:

-----------------------------------------------------------------------------------------------------------

27/7(2/5) = 1 19/35

1 19/35 is greater than 4/3

Thus, 2/5 is true.

-----------------------------------------------------------------------------------------------------------

27/7(1/3) = 1 2/7

1 2/7 isn't greater than 4/3

Thus, 1/3 is false.

-----------------------------------------------------------------------------------------------------------

27/7(1) = 3 6/7

3 6/7 is greater than 4/3

Thus, 1 is true.

-----------------------------------------------------------------------------------------------------------

27/7(2/9) = 6/7

6/7 isn't greater than 4/3

Thus, 2/9 is false.

-----------------------------------------------------------------------------------------------------------

27/7(3/2)=5 11/14

5 11/14 is greater than 4/3

Thus, 3/2 is true.

-----------------------------------------------------------------------------------------------------------

[RevyBreeze]

Pls help asap, have a great day

find, w: x: y: z:

Answers

Answer:

See below ↓

Step-by-step explanation:

Finding w and x [both are equal]

Take the cos function of one of the 45° angles, which is the ratio of the adjacent side to the hypotenusecos(45°) = [tex]\frac{1}{\sqrt{2} } = \frac{w}{6}[/tex]⇒ w = [tex]\frac{6}{\sqrt{2} } = \frac{6}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} } = \frac{6\sqrt{2} }{2}[/tex]⇒ w = 3√2 and x = 3√2

Finding y

Take the cos ratio of the 60° angle to find ycos(60°) = [tex]\frac{1}{2} = \frac{y}{x} = \frac{y}{3\sqrt{2} }[/tex]⇒ y = [tex]\frac{3\sqrt{2} }{2}[/tex]

Finding z

Take the sin ratio of 60° angle of the triangle, which is the ratio of the opposite side to the hypotenusesin(60°) = [tex]\frac{\sqrt{3} }{2}= \frac{z}{x} = \frac{z}{3\sqrt{2} }[/tex]⇒ z = [tex]\frac{3\sqrt{6} }{2}[/tex]

Please factorise 14cd – 7c

Answers

Answer:

7c (2d - 1)

Step-by-step explanation:

Common factorization

Answer:

[tex]\bold{ 7c(2d - 1)}[/tex]

Step-by-step explanation:

[tex]\sf \rightarrow 14cd - 7(c)[/tex]

take 7(c) as common factor

[tex]\sf \rightarrow 7c(2d - 1)[/tex]

factorised

[tex]\sf 7 c(2d - 1)[/tex]

circle the possible values that satisfy each inequality!

Answers

Answer:

25

Step-by-step explanation:

5 > x/5

5 × 5 > (x/5) × 5

25 > x

The diameter of a cylindrical construction pipe is 5 ft. If the pipe is 25 ft long, what is its volume?

Answers

Answer:

490.87 ft^3.

Step-by-step explanation:

Radius = 1/2 * 5 = 2.5 ft.

Volume = π r^2 L

= π*2.5^2*25

= 490.87 ft^3

Vani bought snacks for her team's practice. She bought a bag of popcorn for $3.39
and a 18-pack of juice bottles. The total cost before tax was $26.61. Write and solve
an equation which can be used to determine x, how much each bottle of juice costs.

Equation:
Answer: x=

Answers

Answer:

x= (26.61-3.39)/18

Step-by-step explanation:

If the sum of a number and four is tripled the result is eight less than twice the number

Answers

Answer:

The number is -20.

Step-by-step explanation:

If x is the number, then 3(x+4)=2x-8.

3x+12=2x-8

x=-20

Answer:

- 20

Step-by-step explanation:

if the number if x then 3(X+y 4= 2X-8: 3X+12= 2x-8

x = -20

Other Questions
List the components of good sportsmanship and apply them to a competition. match each sentence part to the question it answers Find the measurements [30 PTS!!] Using mathematically precise language, explain in detail how you would multiply the complex number [tex]z_1=r_1(cos[/tex][tex]_1+i sin[/tex][tex]_1)[/tex] with the complex number [tex]z_2=r_2(cos[/tex][tex]_2+isin[/tex][tex]_2)[/tex]. A sample of an ideal gas at 1.00 atm and a volume of 1.96 L was placed in a weighted balloon and dropped into the ocean. As the sample descended, the water pressure compressed the balloon and reduced its volume. When the pressure had increased to 15.0 atm, what was the volume of the sample Which climate factor is the best option for city planners to consider when trying tomitigate the urban heat island effect?A) LatitudeB) VegetationC) ElevationD) Proximity to Ocean $9,000 is invested in a stock that loses 3%/yr on average. What is its worth after 6 years? Value: Express the following ratio: 20 inches to 2 feet in its simplest form. Hint: 1 feet = 12 inches WILL CHOOSE BRAINLIEST! Select two words that define conjured in paragraph 12. In quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60degrees less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral. A description of a recent (2019-2021)example of how this gbv problem has displayed in your community A toy car pushed across the floor is observed to slow down and stop based on Newtons first law of motion what is the best conclusionA : an object in motion eventually stopsB. The car must have been going slightly uphillC. The car did not have enough mass to keep goingD. There must have been an unbalanced force acting on the toy car Solve the equation for x. Assume a0. 4=ax14 WILL GIVE BRAINLIST TO BEST ANSWERWhat is the most commonly accepted theory of solar system formation?A.the Nemesis theoryB.the theory of planetary motionC.the dust cloud theoryD.the black hole theory Gabby has a goal to finish covering the field before 12 hours haveelapsed. She will use any remaining time to water the field. After 1 hourhas elapsed, she has covered 4,000 square yards of the field.Explain why Gabby will be able to meet her goal by working at this rate. Aspart of the explanation, determine the amount of time, in hours, Gabbywill have to water the field. Which decimal is greater: 7.09 or 7.1? Upon issuance of the Emancipation Proclamation, public opinion inWhich country coalesced behind the Union? What is the length of a rectangle formed from the lateral surface of a cylinder? NEED HELP!!julia and kelsey are both babysitters. julia charges a flat fee of $30 plus $5 per hour. and kelsey charges a flat fee of $10 plus $15 per hour. which system of equations represents the information given? let z represent the number of hours spent babysitting. let y represent the money earned. (answer choices are in the picture) Bijou says the following steps can be used to find 0.62 of 7:Step 1Step 2Step 3Step 4Change "of to the multiplication symbol.62 7 = 434There are 0 decimal places in 7 and 2 decimal places in 0.62 for a total of 2 decimal places in the factors.Move the decimal place in the product 2 places to the right to find the solution: 0.62 of 7 is 43,400.In which step did she make her first error?Step 1Step 2Step 3Step 4