Question

Will give medals and fan!!
How many solutions are there to the following system of equations?

2x – y = 2
–x + 5y = 3

A.
1

B.
0

C.
2

D.
infinitely many

Answer 1

Can you help me?

Answer 2

Do you understand this @tblue1998

Answer 3

HELP PLEASE!!

Answer 4

Hi give me a second

Answer 5

2x – y = 2
–x + 5y = 3

This is a system of equations. I will use substitution.

Answer 6

ok thanks!!!!

Answer 7

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

2x -y = 2 (substitute the top part into here)
2(5y-3) - y = 2
10y - 6 - y = 2
9y = 8
y = 8/9

Answer 8

x = 5y - 3 = 5(8/9) - 3 = 13/9 = 1.444444 repeating

Since there is a solution of (13/9, 8/9), there is 1 solution

Answer 9

Thanks can you help me with another one?

Answer 10

The answer is A. Keep in mind, answer choice C is impossible; you can never have a system of equations with 2 solutions :)

Sure!

Answer 11

Solve the following system of equations.

x + y = 3
2x + 2y = 6

A.
no solution

B.
infinite number of solutions

C.
(0, 3)

D.
(1.5, 1.5) @Mathexpert

Answer 12

x + y = 3
2x + 2y = 6
I will use combination this time.

x + y = 3
2(x + y) = 2(3)
2x + 2y = 3

2x + 2y = 3
2x + 2y = 6

These are my two equations (the first one I just rewrote to fit my way of solving). Now subtract the equations.

0 = -3

This is not true; thus, there are no solutions. The answer is A

Answer 13

thanks i have 3 more think you can help? @Mathexpert

Answer 14

Sure :)

Answer 15

Solve the following system of equations by linear combination:

3x + 2y = –7
5x – 4y = –19

A.
The solution is (–3, 1).

B.
The solution is (–4, 2).

C.
There are an infinite number of solutions.

D.
There is no solution.

Answer 16

@Mathexpert

Answer 17

You are an absolute lifesavor! @Mathexpert

Answer 18

3x + 2y = –7
5x – 4y = –19

Using combination again.

Rewriting top equation.

3x + 2y = –7
2(3x + 2y) = 2(-7)
6x+4y = -14

6x+4y = -14
5x-4y = -19

Add both equations.

11x = -33
x = -3

Plug back x into one of the equations to get y.

3x + 2y = -7
3(-3) + 2y = -7
-9 + 2y = -7
2y = 2
y = 1

the solution is (-3,1), choice A

Answer 19

Thanks!

Answer 20

Which is the graph of the system of equations?

2x + 3y = 12
4x + y = 8

A.

ALGTests_L2_S1_U8_Q11_B.gif


B.
ALGTests_L2_S1_U8_Q11_D.gif


C.


ALGTests_L2_S1_U8_Q11_A.gif


D.


ALGTests_L2_S1_U8_Q11_C.gif

Answer 21

I can't see the graphs unfortunately.

Answer 22

Use mathway.com to graph them.

Answer 23

ALGTests_L2_S1_U8_Q11_B.gif


B.
ALGTests_L2_S1_U8_Q11_D.gif


C.

Which equation will result if the substitution method is used to solve the following system of linear equations?

x + y = 6
x = y + 2

A.
(y + 2) + y = 6

B.
x = (x – 6) + 2

C.
x + (y + 2) = 6

D.
x + y = y + 2


D.


ALGTests_L2_S1_U8_Q11_C.gif

Answer 24

I posted the wrong question!!!!

Answer 25

hehe

Answer 26

Which equation will result if the substitution method is used to solve the following system of linear equations?

x + y = 6
x = y + 2

A.
(y + 2) + y = 6

B.
x = (x – 6) + 2

C.
x + (y + 2) = 6

D.
x + y = y + 2

Answer 27

x + y = 6
x = y + 2

Subsitute x = y + 2 into x + y = 6

(y + 2) + y = 6

The answer is A.

Answer 28

Thank you so much!!!!