Question #18a78

1 Answer
Jan 18, 2018

The answers are x=6x=6, y=-1y=1.

Explanation:

As y=-x+5y=x+5, we will first substitute -x+5x+5 into yy in the 2x+y=112x+y=11 equation.

y=-x+5y=x+5
2x+(-x+5)=112x+(x+5)=11

Then, begin to simplify.

2x-x+5=112xx+5=11
x+5=11x+5=11
x=6x=6

Next, substitute the x=6x=6 value into either equation, for this example I used the y=-x+5y=x+5 equation.

y=-(6)+5y=(6)+5

Again, simplify.

y=-6+5y=6+5
y=-1y=1

The answer set is:
x=6x=6, y=-1y=1