A student uses the substitution method to solve the system of equations below algebraically.

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

Which equivalent equation could be used?

3x + 2(2x - 5) = -3
3x + 2(5 - 2x) = -3
3(y + 5/2) + 2y = -3
3(5/2 - y) + 2y = -3

Question

A student uses the substitution method to solve the system of equations below algebraically.


2x - y = 5
3x + 2y = -3

Which equivalent equation could be used?

3x + 2(2x - 5) = -3
3x + 2(5 - 2x) = -3
3(y + 5/2) + 2y = -3
3(5/2 - y) + 2y = -3

anonymous · Answer

2x-y = 5. Now shuffle this equation to get the value of y:
2x+5 =y 
Substitute this (2x+5) for y in the 2nd equation, and you will have your answer.

anonymous · Answer

@livingmaybe Ok So the answer would be A?

anthonyym · Answer

No. You have 
2x - y = 5

Add y.
2x = 5 + y

Subtract 5
2x - 5 = y

anonymous · Answer

Sorry made a typo should have been y = 2x - 5. Yes A is right.

anonymous · Answer

Great Thank You @livingmaybe

anthonyym · Answer

A would be correct