Question

Elimination
3x +2y=9
3x ty=0
1​

Answer 1

`y = 9`

`x = -3`

Explanation:

Given

`3x + 2y = 9`

`3x + y = 0`

Required

Solve by elimination

To do this, we subtract both equations (to eliminate x)

`3x + 2y = 9`

-
`3x + y = 0`

--------------------

`3x - 3x + 2y - y = 9-0`

`y = 9`

Substitute
`y = 9` in
`3x + y = 0`

`3x + 9 = 0`

Solve for 3x

`3x =- 9`

Solve for x

`x = -9/3`

`x = -3`