Determine which of the following ordered pairs satisfies the given system of equations.

{-2x+y=8 y=2x/5 - 8

Select all that apply:

(72,-72)

(-3,2)

(-1,5)

(-2,-445)

(-10,-12)

(-3,2)

Step-by-step explanation:

1) - 2x+y=8

you need to leave the Y alone on one side. Then, the term - 2x goes to the other side with its opposite sign which is +.

y=8+2x

2) y=2x / (5-8)

3) 8+2x=2x / (5-8)

now, you need the x value. for that, you need to leave x alone on one side.

8+2x=2x / (-3)

8+2x = - (2/3) x

8 = - (2/3) x-2x

8 = - (8/3) x

8 / - (8/3) = x

-3=x

4) you now have the x value. you need the y value. for that, replace the x in one of the given equations. let's use the 1st equation.

-2x+y=8

y=8+2x

y=8+2 * (-3)

y=2

result:

x = - 3

y=2