Question

What is the solution to the system of equation

5x+2y=12
y=-3x+7

A. (13, -2)

B. (1 , 2)

C. (-2 , 13)

D. (2 , 1)

Answer 1

D. (2 , 1)

Explanation:

STEP 1: Replace all occurrences of
`y` with
`-3x+7` in each equation.

`-x+14=12\\y=-3x+7`

STEP 2: Solve for
`x` in the first equation.

`x=2\\y=-3x+7`

STEP 3: Replace all occurrences of
`x` with
`2` in each equation.

`y=1\\x=2`