Question

Solve the system of linear equations below. x − 3y = -3 x + 3y = 9 A. x = -12, y = 7 B. x = 3, y = 2 C. x = 6, y = 1 D. x = 6, y = 2

Answer 1

B. x=3,y=2

Step-by-step explanation

The given equations are

`x - 3y = - 3...(1)`

and

`x + 3y = 9...(2)`

We add the two equations to eliminate y.

This implies that that:

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

Simplify:

`2x = 6`

Divide both sides by 2.

`x = 3`

We put x=3 into any of the equations to find y.

Let us substitute x=3 into equation (1) to get:

`3 - 3y = - 3`

`- 3y = - 3 - 3`

`- 3y = - 6`

Divide both sides by -3 to get;

`y = 2`

The solution is therefore x=,y=2.