Solve this equation using elimination: 4x-y=8; 6x+y=2

Solve simultaneously.

4x - y = 8

6x + y = 2

Multiply top equation by 6, and bottom equation by 4, to eliminate x, so that we can find y.

~

24x - 6y = 48

24x - 4y = 8

Subtract top from bottom to form one equation.

~

-2y = 40

Therefore y is 20.

Put y back in to an equation, such as 4x - y = 8.

~

4x - 20 = 8

4x = 28

x = 7