Question

Use the substitution method to solve the system of equations

3x+2y=13

y=x-1

Answer 1

`x=3\\y=2`

Explanation:

`3x+2y=13\\y=x-1`

Solve for
`y=x-1` for y:

`y=x-1`

Substitute
`x-1` for y in
`3x+2y=13`:

`3x+2y=13`

`3x+2(x-1)=13\\`

`5x-2=13`

`5x=13+2`

`5x=15`

`x=15/5`

`x=3`

Substitute 3 for x in
`y=x-1`:

`y=x-1`

`y=(3)-1`

`y=2`

`x=3` and
`y=2`

hope this helps...