Question

A system of equations is shown below.

{
2
x
−
y
=
3
x
−
3
y
=
4

What is the value of y for the solution to the system?

A.
–5

B.
–1

C.
1

D.
2

Answer 1

Solve the system
2x − y = 3
x − 3y = 4

Multiply the second equation by 2: 2x − 6y = 8. Subtract the first equation (2x − y = 3):
(2x − 6y) − (2x − y) = 8 − 3 → −5y = 5 → y = −1.

Answer: B.