Question

Which system of equations will yield the same solution to the system below?

x-y=3
2x-3y=-1

A- 2x-2y=-6
2x-3y=-1

B 2x-2y=6
2x-3y=-1

C -2x+2y=-3
2x-3y=-1

D 3x+3y=9
2x-3y=-1

Answer 1

Explanation:

In order for us to be able to find our answer, we need to show our work.

-3(x-y=3) → -3x + 3y = -9

+2x - 3y = -1

____________________________

-1x = -10

-1 -1

We need to divide -1 both sides in order for us to be able to find our x-value but there's more to this than just solving for X.

x = 10

x - y = 3

10 - y = 3

-10 -10

_________________

-y = -7

-1 -1

We need to divide -1 both sides in order for us to be able to find our y-value. Please note that each y is equivalent to an invisible 1.

y = 7

As a result, your answer will be B.

Answer 2

The answer to the question is B