Question

Tao uses elimination to solve the following system of linear equations. -2x+4y=162x+2y=8Which ordered pair is a solution to the system?

a. (0, 4)
b. (0, 8)
c. (4, 0)
d. (8, 0)

Answer 1

o n e or 1 or a

Explanation:

Answer 2

The correct answer is the first option.

If you want to use elimination, you can sum the two equations for example, so that the x's simplify:

`(-2x+4y)+(2x+2y) = 16+8`

`6y = 24`

`y = 4`

Plug this value for y in one of the equations to derive the value of x:

`2x+2y=8 \implies 2x + 8 = 8 \implies x = 0`

So, the solution is
`(x,y) = (0,4)`