Question

Solve the system of equations using substitution.

Answer 1

(10, -1)

Explanation:

`3y=-(1)/(2)x +2`

`y=-x+9`

Substitute y for -x + 9

`3(-x+9)=-(1)/(2)x+2`

`-3x+27=-(1)/(2)x+2`

`27=(5)/(2)x+2`

`25=(5)/(2)x`

Multiply both sides by 2/5

`x=(50)/(5)`

`x=10`

Use the x value to solve for y

`y=-(10)+9`

`y=-10+9`

`y=-1`

Solution: (10, -1)

Answer 2

A) (10,-1)

Explanation:

`3y=-(1)/(2)x+2\\\\3(-x+9)=-(1)/(2)x+2\\\\-3x+27=-(1)/(2)x+2\\\\27=(5)/(2)x+2\\\\25=(5)/(2)x\\\\50=5x\\\\10=x`

`y=-10+9=-1`