Question

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

Answer 1

Answer:

(-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