Solve the system of linear equations using Substitution
5x + 2y= 9
y = -x-3

Answers

Answer 1

Answer:

(5, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

5x + 2y = 9

y = -x - 3

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                 5x + 2(-x - 3) = 9[Distributive Property] Distribute 2:                                                                5x - 2x - 6 = 9Combine like terms:                                                                                        3x - 6 = 9[Addition Property of Equality] Add 6 on both sides:                                   3x = 15[Division Property of Equality] Divide 3 on both sides:                                 x = 5

Step 3: Solve for y

Define original equation:                                                                                y = -x - 3Substitute in x:                                                                                                 y = -5 - 3Subtract:                                                                                                          y = -8

Related Questions

$150 per hour is how much per min

Answers

$2.50

Hope this helps!

May I have brainliest? :D

$2.5 a minute because 150 divided by 60 is 2.5

What is the best approximation of the solution to the system to
the nearest integer values?
o
(3, 4)
o
(2, 3)
O (1, 3)
o (3, 2)

Answers

Answer:  (2,3)

====================================================

Explanation:

The intersection point of the two lines is where the solution point is located.

The x coordinate of that intersection point is a bit smaller than x = 2, but when rounded to the nearest whole number, we would get to x = 2.

At the same time, the y coordinate of the intersection point is a bit above y = 3, which rounds to this value when rounding to the nearest whole number.

So that's how we get to (2,3)

a shark is 8 meters below the surface of the water it swims downward and is now 22 meters below the surface of the water

what integer represents the shrek change in depth?

Answers

Answer:

"The shrek" AHAH

Anyways the answer is -22

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

i need help prolly didnt pay attention lol

Answers

Answer:

identity

Step-by-step explanation:

Identity property

Hope this helps! :D

At the afternoon matinee movie, 3 adult tickets and 5 child tickets cost $46, and 6 adult tickets and 3 child tickets cost $57. Which two equations can be used to determine the price of each ticket?


Let x represent the cost of an adult ticket and y represent the cost of a child ticket.


A. 3x + 5y = 46
6x +y = 52

B. 3x + 6y = 46
5x + 5y = 57

C. 3x + 5y = 46
6x + 3y = 57

D. 3x + 6y = 63
5x + 3y = 40

Answers

Answer:

C

Step-by-step explanation:

3x + 5y = 46

6x + 3y = 57

hope this helps

Tim rides 3.2 miles on his bike everyday How far does Tim ride in one week

Answers

Answer:

22.4

Step-by-step explanation:

Just multiply 3.2 by 7 to get 22.4 miles a week. Easy.

Draw the box-and-whisker plot for the data.
33, 50, 30, 45, 30, 41, 27, 34, 50, 49, 40, 40, 35, 25, 28

Answers

Answer:

this example of a box whisker plot

Step-by-step explanation:

try to input your numbers

a quotient that is between 8÷0.001 and 8÷110.

Answers

Answer:

Step-by-step explanation:

I don't actually know if this is what you want but

8 divided by 0.001 is 8000

and

8 divided by 110 is 0.07272727272727272

I hope this helps

Please i need urgent help also check my account i have more answer for high amounts of points. Part A: Which lengths are the dimensions of the garden?
A. 6.0 ft. B. 5.4 ft. C. 5.0 ft. D. 4.5 ft. E. 11.0 ft.
Part B: If Carlos decides to fence in the garden, how much fencing material should he purchase? Round your answer
to the nearest unit.
Carlos needs to purchase _________ _________.
Part C: What is the most precise name for the shape of the garden?
A. Quadrilateral B. Parallelogram C. Square D. Rectangle

Answers

Answer:

Part A: 6.0 ft, 5.4 ft

Part B: 22.8 feet

Part C: Parallelogram

what is the division expression for 6/10

Answers

6 divided by 10
the fraction bar means divide

6/10 is 6 divided by 10 the bar is the division sign

Step-by-step explanation:

it can be broken down further

[tex] \frac{6}{10} = \frac{3}{5} [/tex]

Solve for x.
71°

42°

Answers

Answer:

67

Step-by-step explanation:

a triangle equals 180

180-71-42= 67

Find the perimeter of the trapezoid. Leave your answer in simples radical form

Answers

Answer:

[tex]105+15\sqrt{3}in[/tex]

(6,-5) (7,-3) (8,-1) (9,1) is this a function?

Answers

Answer:

Yes

Step-by-step explanation:

To find out if it's a function, check if any of the y values repeat. If they don't, it's a function. :)

Grayson biked 45 miles in 3 hours. Maya biked 26 miles in 2 hours. If they both kept a constant speed, how much faster did Grayson bike than Maya?

Answers

Answer:

Grayson biked at a speed of 15 mph. Maya biked at a speed of 13 mph.

Grayson biked 2 mph faster than Maya.

Step-by-step explanation:

45/3 = 15

26/2 = 13

Please help with my work!

Answers

Answer:

x,y =3,-4

Step-by-step explanation:

// Solve equation [1] for the variable  y

 [1]    y = 2x - 10

// Plug this in for variable  y  in equation [2]

  [2]    3x - 2•(2x-10) = 17

  [2]    -x = -3

// Solve equation [2] for the variable  x

  [2]    x = 3

// By now we know this much :

   x = 3

   y = 2x-10

// Use the  x  value to solve for  y

   y = 2(3)-10 = -4

Please help I have tried multiple times but keep getting it wrong.

Solve the following inequality, then graph the solution set. | x | − 6 ≥ − 4. Answer in interval notation.

Answers

Answer:

inequality form: x

x≤ 4 or x≥8

Interval Notation:

(-∞, 4] U[8,∞)

Explanation

Solve the following inequality, then graph the solution set. | x | − 6 ≥ − 4. Answer in interval notation.

2x-1-(-x+3) = 6-2x SHOW STEPS....DUE TODAY

Answers

Answer:

x=2

Step-by-step explanation:

Simplify both sides of the equation.

2x−1−(−x + 3)=6−2x

(Distribute the Negative Sign)

2x−1 + −1(−x + 3)=6−2x

2x + −1 + −1(−x) + (−1)(3)=6−2x

2x + −1 + x + −3=6−2x

2x + −1 + x + −3=6 + −2x

(Combine Like Terms)

(2x + x) + (−1 + −3)=−2x+6

3x + −4=−2x + 6

3x−4=−2x + 6

Add 2x to both sides.

3x−4 + 2x=−2x + 6 + 2x

5x−4=6

Add 4 to both sides.

5x−4 + 4=6 + 4

5x=10

Divide both sides by 5.

5x/5=10/5

x=2

Which number sentence is true?
8.5 <2.97
B
8.5 > 2.97
8.5 = 2.97
Please help

Answers

I'm pretty sure it's 8.5 > 2.97

what price do Ashley's Tees and City Printing have exactly the same total cost?

Answers

80 because the both lines intersect at this point.

TIME REMAINING
59:50
The table shows the mean number of basketball goals made by four random samples of players from the school team
during this year's season.
Sample #
Sample Mean
Number of Goals
7
1
4
2
3
5
4
8
Is a valid prediction for the mean of the population possible using these samples?
O No, there are not enough samples.
Yes, the sample means are all less than 10.
Yes, the variation of the sample means is small.
O No, the variation of the sample means is too great.
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

I'd say yes, because you have a good variety of samples. (B.)

Step-by-step explanation:

If f(x) = 3x - 2 then what is f(10)/​

Answers

Answer:

28

Step-by-step explanation:

f(10) means replace all x's with 10. f(10) = 3(10) - 2 -> 30-2 = 28

Find the sine, cosine, and tangent of angle A. (fraction as in simplest form please.)

Answers

Answer:

SinA=3/5

CosA=4/5

TanA=3/4

Step-by-step explanation:

first we have to find what side length bc is using the Pythagorean triple formula a^2+b^2=c^2 or c^2-b^2=a^2

20^2-16^2=144 the square root of 144 is 12 so side length bc=12

so sin is opposite/hypotenuse

the opposite of angle a is 12 and the hypotenuse is 20 so sinA is 12/20 or 3/5

cos is adjacent/hypotenuse

the adjacent of angle a is 16 and the hypotenuse is 20 so cosA is 16/20 or 4/5

tan is the opposite/adjacent

the opposite of angle a is 12 and the adjacent is 16 so tanA is 12/16 or 3/4

!!!I’ll mark brainlest and it’s worth 30 points, it’s for a math test and i’m really confused.!!!

If angle 1 = 55°, what is angle 5?
A. 55°
B. 40°
C. 35°
D. 25°

thanks ;)

Answers

It’s C because 90-55
It’s C i believe
Angle 3 and 6 both equal 90 degrees. angle 1 is collinear with 6 and 5. Those three angles (1,6, and 5) add up to 180 degrees. If you subtract your angle 6(90) from 180 , you get 90 , then u subtract ur angle one(55) from 90 and get 35 degrees. I hope this makes sense, it’s harder to explain online

Which of the following is a decomposition reaction?
reactant plus reactant yields product
reaciant minus reactant yields product
reactant yields product plus product reactant yields product times product

Answers

Answer:

Reactant plus reactant yields product.

Step-by-step explanation:

A decomposition reaction starts from a single substance and produces more than one substance. One substance as a reactant and more than one substance as the products is the key characteristic of a decomposition reaction.

Hope this helps.

Find the y-intercept of the line on the graph.
Enter the correct answer.



help!!

Answers

The y intercept for this is 3

-20x(-5)-50 evaluate ​

Answers

Answer:

it's 50 because I know trust me

Answer:

50

Step-by-step explanation:

-20x-5-50= 50

Jake lives 2⅓mile from school. He decides to walk to the shop on his way home. The shop is 1⅜mile from school. A) What is the shortest possible distance from the shop to his home? B) What is the largest possible distance from the shop to his home?

Answers

Answer:

Shortest distance = 23/24

Farthest distance = 3 17/24 miles

Step-by-step explanation:

Distance of home from school = 2 1/3 miles

Distance of shop from school = 1 3/8 miles

Shortest distance possible :

(2 1/3 - 1 3/8) miles

(7/3 - 11/8) miles

L. C. M = 24

(56 - 33) / 24

23 / 24 miles

The farthest distance :

(2 1/3 + 1 3/8) miles

(7/3 + 11/8) miles

L. C. M = 24

(56 + 33) / 24

89 / 24

= 3 17/24 miles

Find the perimeter and area of a rectangle of cardboard measuring 18.7 cm by 18.5 cm

Answers

Answer:

74.4cm

Step-by-step explanation:

Perimeter is L + L + W + W

or 2L +2W

so 2(18.7) + 2(18.5) = 74.4 cm

Write an equation for when k= 1/6

Answers

Answer:

2/6 - 1/6 = k

Step-by-step explanation:

Simplify and write 7a^2(sqrt of 75a^3) + 3a^2(sqrt of 12a^3) in radical form.

Answers

Answer:

41a³√3

Step-by-step explanation:

Simplify:

7a²√75a³ + 3a²√12a³ = 7a²√(5a²)(3) + 3a²√(2a)²(3) - 7a²(5a)√3 + 3a²(2a)√3 = 35a³√3 + 6a³√3 =41a³√3
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