Question

Solve the following systems of linear equations using the substitution Method y = -x + 3 3x + 3y = 9​

Answer 1

Infinitely many solutions.

Explanation:

Given

`y = -x + 3`

`3x + 3y = 9`

Required

Using substitution method, solve

Substitute -x + 3 for y in
`3x + 3y = 9`

`3x + 3(-x + 3) = 9`

Open bracket

`3x - 3x +9 = 9`

`9 = 9`

`0 = 0`

The above shows that there are infinitely many solutions.