Question

Question 32 of 50

-3x + y = 6
y=x-6
The value of y in the system of equations is:
O
O
O
y = -12.
y = -6.
y = 6.

Answer 1

y = - 12

Explanation:

given the system of equations

- 3x + y = 6 → (1)

y = x - 6 → (2)

Solve the system to find x then y

substitute y = x - 6 into (1)

- 3x + x - 6 = 6 ( simplify left side )

- 2x - 6 = 6 ( add 6 to both sides )

- 2x = 12 ( divide both sides by - 2 )

`(-2)/(-2)` x =
`(12)/(-2)` , that is

x = - 6

now substitute x = - 6 into (2) for the value of y

y = x - 6 = - 6 - 6 = - 12