Question

What is the solution of the system? Use any method.

3x + 2y = 7
y = –3x + 11

Answer 1

`(5,-4)`

Explanation:

SOLVE BY SUBSTITUTION:

STEP 1: Replace all occurrences of
`y` with
`-3x+11` in each equation.

`-3x+22=7\\y=-3x+11`

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

`x=5\\y=-3x+11`

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

`y=-4\\x=5`