Question

What is the solution to the following system of equations? x − 4y = 6 2x + 2y = 12 (0, 10) (10, 0) (6, 0) (0, 6)

Answer 1

Your Answer Is:

C: (6,0)

Answer 2

(6,0)

Explanation:

The given system has equations:

`x-4y=6`

`2x+2y=12`

Multiply the top equation by 2 to get:

`2x-8y=12`

`2x+2y=12`

Subtract the top equation form the bottom equation to get:

`2x-2x+2y--8y=12-12`

`\implies 10y=0`

`\implies y=0`

Put y=0 into
`x-4y=6`

`x-4*0=6`

`\implies x=6`

Therefore the solution is (6,0)