Question

Solve the system of equations -4x+8y=40−4x+8y=40 and -2x+y=-10−2x+y=−10 by combining the equations.

Answer 1

The answer is x = y = 10.

Explanation:

It is given that,
`-4x + 8y = 40\\-x + 2y = 10\\x = 2y - 10`.

Another equation is given by,
`-2x + y = -10\\y = 2x - 10`.

Putting the value x = 2y - 10, in the second equation, we get
`y = 4y - 20 - 10\\3y = 30\\y = 10`.

`x = 2y - 10 = 20 - 10 = 10`