What is the solution to this system of equations?
X+ 2y = 4
2x-2y = 5
O (3.-53
0
(3.)
no solution
infinitely many solutions

Answers

Answer 1

Answer:

X+2y=4

4+2y=x

2(2+y)=x

2x-2y=5

2(x-y)=5

x-y=5/2

Answer 2

Answer:

(x, y) = (3, 1/2)

Step-by-step explanation:

x + 2y = 4

2x - 2y = 5

There is more than one way to do this. I will do it by substitution.

From the first equation, x + 2y = 4, so x = (-2y) + 4

Now, in the second equation, I will replace x with (-2y + 4)

2(-2y + 4) - 2y = 5

-4y + 8 -2y = 5

-6y + 8 = 5

-6y = -3

6y = 3

y = 3/6

--------------------------------->  y = 1/2, one part of the answer

Now I can go back to the first equation, and relpace 'y' with 1/2

x + 2(1/2) = 4

x + 1 = 4

----------------------------------->  x = 3, the other part of the answer

So now we believe the solution is (x, y) = (3, 1/2)

Now check the answer, back in the original equations!!

------> In the first equation, we would have 3 + 2(1/2) = 4.

                                                                       3 + 1 = 4

                                                                       That is true

-------> In the second equation, we would have 2(3) - 2(1/2) = 5

                                                                                6 - 1 = 5

                                                                          That is true

Our answer is found and checked.

(x, y) = (3, 1/2)


Related Questions

a que numero mixto corresponde la fraccion 7/2​

Answers

Answer:

3 & 1/2

Step-by-step explanation:

2•3=6

7-6

1/2

3 whole number

3 & 1/2

I WILL GIVE BRAINLIEST FOR CORRECT ANSWER. Explain how to use the distributive property to find the product (3) ( 4 1/5 ) .

Answers

Answer:

3x4 then you do 3x1/5 because youre distibuting to all numbers in this case multiplecation

Step-by-step explanation:

On average, Gil reads 57 pages in a book each week.
How many pages des Gil read in 12 weeks?

Answers

Answer:

684

Step-by-step explanation:

57 times 12

12 weeks times 57 pages= 684 pages in 12 weeks

the house on one side of Elm Street follows a pattern the first five houses are numbers 41, 47 53, 59 and 65 if the pattern continues which of the following could be a house number on Elm Street. A- 75, B- 77, C- 81, D- 87​

Answers

Step-by-step explanation:

Notice that:

47 - 41 = 6,53 - 47 = 6,59 - 53 = 6, 65 - 59 = 6.

Every house number on the side of Elm Street is 6 more than the previous one.

If we continue this pattern, we will see the following house numbers:

65 + 6 = 71,71 + 6 = 77,77 + 6 = 83,83 + 86 = 89.

Out of the options given, the only one whose number is on the side of Elm Street is 77. (B)

How many ways can a committee of 2 be selected from a club with 12 members?
Select one:
a. 132
О O
b. 33
О O
c. 2
d. 66
O

Answers

66

have a good day :)
12 C 2 = 66 so the answer is D
the C means combination cuz the order doesn’t matter

ANSWER FOR A BRAINLIEST Solve the system of two variables by substitution

Answers

Answer:

Substitution is when you isolate a variable-

3) We can divide the first equation by 6 to get x+y=-1, then isolate to get y=-1-x. We plug this into the second equation to have 3x+(-1-x)=-13. We simplify and get 2x=-12 so x=-6. We plug this back into the first equation and get -6+y=-1 so y=5. So the answer as an ordered pair is (-6,5).

4) We can isolate the second equation to get x=2y+11. We substitute this into the first equation to have -7(2y+11)-2y=-13. We simplify and get -16y=64 so y=-4. We plug this back into the second equation and get x+8=11 so x=3. So the answer as an ordered pair is (3,-4).

Find the mode: 22, 19, 15, 16, 18, 18, 5, 18

Answers

Answer:

18

Step-by-step explanation:

Mode is the value that appears most often in a set of data values. So, in this case, the answer is 18.

if you have two whole cakes one round and one square are they both the same.​

Answers

Answer:

depend if one cake is 25 ounces and the other is 23 they are not the same, just bc one is square and one is circle does not mean they came be the same it just depends on the weight or size ig

Find X
put step by step please

Answers

Answer:

x = 29.7 or 29.69848480

Step-by-step explanation:

Use the formula a² + b² = c²

21² = 441

20² = 400

400 + 441 = 882

√882 = 29.7

You square the number at the end to cancel out the squared number, since both 21 and 20 aren't originally squared.

is 3 correct pls helppppppppppp

Answers

Answer:

yes it is you didn't even have to ask the question

Step-by-step explanation:

hope this helped :)

Solve the system of linear equations using multiplication.

−4x + 3y = −9
5x − 2y = 48
The solution is_____

PLEASE SHOW WORK

Answers

Answer:

The solution is (18,21)

Step-by-step explanation:

The picture shows the steps.

Hope this helps!!!

In an isosceles triangle the base angles are both 32 degrees, find the vertex

Answers

Answer:

116 deg

Step-by-step explanation:

note that an isoceles triangle always have 2 base angles that are equal.

Here we are already given one base angle of 32 deg. It follows that the other base angle must also be 32 deg.

We now have 2 angles of a triangle and we need to find the remaining one. Also recall that all 3 internal angles of a triangle sum to 180 deg. if we let the missing angle be x, then:

base angle + base angle + vertex angle = 180°

or,

32° + 32° + x° = 180°

64° + x = 180 deg

x = 180 - 64

x = 116 deg

Evaluate 4x-6y when x=-3 y=-1

Answers

Answer:

First we substitute

4(-3) - 6(-1)

-7  -6

-13

Step-by-step explanation:

The answer is -6 jjggcre

Compara las unidades de volumen, rodea la opción correcta y contesta. I 19
Camilo y Amara harán un mural. Cuentan con varios botes de pintura Galon
de diferentes colores, pero las etiquetas difieren en las unidades
que representan su contenido.
Unidad de
del Sister
que equiv
a 3.79 lit
2 galones
V2 galón
2.5 litros
2 litros
1 1/4 litros
V2 litro
¿Cuál de las siguientes opciones representa medio galón?
a) 18.95 litros
b) 1.895 litros
c) 1 895 litros
b09
¿Cuál equivale a dos galones?
SUSU BUDIS
b) 7.58 litros
c) 75.8 litros
a) 758 litros​

Answers

Answer:

hola jugas free mi id si juegas 542233308

Scarlet is buying a watch that cost 49$ Is sales tax are 6% how much will be added to the cost of the watch?

Answers

Answer:

$51.94

Step-by-step explanation:

Basically just take 6% of 49 and at it up to get your final answer!

Answer:

$51.94

Step-by-step explanation:

49* 1.06= $51.94

hellpp fast please a​

Answers

Answer:

C. 3x+30

Step-by-step explanation:

5(2x+6)-7x can be rewritten as

10x+30-7x which can be simplified as

3x+30

help plsssss ill mark brainliest​

Answers

Answer:

A = 38.5

Step-by-step explanation:

R+6> 13 solving one step inequalities

Answers

Answer:

R > 7

Step-by-step explanation:

R+6> 13   (subtract 6 from both sides)

R > 13 - 6

R > 7

I need this ASAP.
preschool has a student to teacher ratio of 5:2 which of the following ratios is equivalent to this ratio?
A 45 teachers to 18 students
B 45 students to 18 teachers
C 35 students to 10 teachers
D 10 students 7 teachers

Answers

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

First you do 5/2 to solve the ratio! That equals 2.5 btw. Then you have to selected the answer choice that is equivalent to that. So I just divided all them until I got a radio equal to 2.5! 45/18 equals 2.5 also! Therefore A (45 teachers to 18 students) was the correct choice!

a number divided by the sum of 4 and 7

Answers

Answer:11

Step-by-step explanation:

Answer:

11/ 4 + 7 = 11/11 = 1?

Step-by-step explanation:

Four out of 12 students like chicken better than steak. What percent prefer chicken

Answers

Answer:

33.333...(%)

Step-by-step explanation:

4 divided by 12 gives you 0.333... (3 repeating)

Create your own problem using the following informatio
Then, solve it.
1. Ratio is 2:5:6= 78
renn increases to 20​

Answers

Create your own problem using the following information

ratio is 2:5:6=78

8
While at work, Nina checks her email once every 80
minutes. In her 8-hour work shift, how many times
does she check her email?

Answers

Answer:

8 i think

Step-by-step explanation:

Points
What conclusion can Ms. Andrews make about the performance of her first- and second-period
classes?
A The first-period class had a higher median score than the second-period class,
B. The second-period class scores had a higher mean than the first-period class scores,
The first-period class scores had a greater range than the second-period class scores,
The second-period class scores had a greater range than the first-period class scores,
Sign out
US
10:29

Answers

Answer:

Step-by-step explanation:

Itd be a

If 24 is increased to 60. Find the percent increase.

Answers

Answer: 150%



Explaination: Convert the fraction to a decimal, then multiply by
100
Answer: 36 correct me if I’m wrong

Given a right triangle, find the length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm. (Round to two decimal places.)

Answers

Answer:
The length of the missing leg is 12 cm.

Explanation:

a² + b² = c² (Pythagoras theorem)

c is the hypotenuse (longest length) of a triangle.

a and b are the two other side of the triangle excluding the longest one.


Let x cm be the length of the missing leg of the right triangle.

x² + 5² = 13² (Pyth. Thm.)

x² = 13² - 5²

x² = 169 - 25

x² = 144

x = √144

x = 12

Hope it helps! Mark me brainliest if it’s correct.

The length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm would be 12 cm.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

a² + b² = c² (Pythagoras theorem)

where, c is the hypotenuse (longest length) of a triangle.

And a and b are the two other side of the triangle excluding the longest one.

Let x be the length of the missing leg of the given right triangle.

x² + 5² = 13²

x² = 13² - 5²

x² = 169 - 25

x² = 144

x = √144

x = 12

Hence,  the length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm would be 12 cm.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

The value of a collectible toy is increasing exponentially. The two points on the graph
show the toy's initial value and its value 3 weeks afterward.

Answers

The question is incomplete. Here is the complete question.

Part A

The value of a collectible toy is increasing exponentially. The two points on the graph show the toy's initial value and its value 3 weeks afterward.

Express the toy's value t, in dollars, as a function of time w in weeks after purchase.

Part B

Write an expression to represent the toy's value 10 days after purchase

Answer and Step-by-step explanation: An exponential function is of the form: [tex]y=ab^{x}[/tex]

Part A

Translating to the question, the toy's value as a function of time is

[tex]t=ab^{w}[/tex]

To determine constants a and b, we use points given by graph.

First, (0,5) to find a:

[tex]5=a.b^{0}[/tex]

a = 5

Now, (3,10) to determine b:

[tex]10=5b^{3}[/tex]

[tex]b=\sqrt[3]{2}[/tex]

b = 1.26

The toy's value as a function of time in weeks is [tex]t=5.(1.26)^{w}[/tex]

Part B

Since, the function is in weeks:

1 week = 7 days

w weeks = 10 days

[tex]w = \frac{10}{7}[/tex]

Replacing w:

[tex]t=5.(1.26)^{w}[/tex]

[tex]t=5.(1.26)^{10/7}[/tex]

Expression that represents toy's value after 10 days is [tex]t=5.(1.26)^{10/7}[/tex].

Determine if the given point satisfies either equations and is a solution of the system of inequalities

4y-23x _5x-11

The rest see it on the photo

Answers

Answer:

(0,0) satisfies 4y - 23x < 9

(0,0) satisfies 5/2y > 5x -11

The point (0,0) is a solution of the system.

Step-by-step explanation:

If Joe had 2 apples and his friend gave him 5 more how many apples would Joe have?

Answers

Answer: Joe would have 7 apples.

Step-by-step explanation:

Joe had 2 apples, and he got 5 more. Because of this, we have to do 2 + 5.

2 + 5 = 7

Joe would have 7 apples.

Please help
9(2+17)+13z=17

Answers

Answer:

9(19)+13z=17

171+13z=17

13z=171-17

Z=154/13 is the answer

Step-by-step explanation:

Pls mark me in brain list

Answer:

z = -154/13

Step-by-step explanation:

1.) Add the numbers

9(2+17)+13=17

9(19) = 13z = 17

2.) Multiply the numbers

9 x 19 + 13z = 17

171 + 13z = 17

3.) Rearrange terms

171 + 13z = 17

13z + 171 = 17

4.) Subtract 171 from both sides of the equation

13z + 171 = 17

13z + 171 - 171 = 17 - 171

5.) Simplify

Subtract the numbersSubtract the numbers

13z = -154

Solution

z = -154/13

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