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

Answer:

(6,0)

Step-by-step 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)