Question

6) 8x+y=-16
-3x+y=-5
Solve each system by elimination?

Answer 1

(−1, −8)

Explanation:

(8x+y=−16)−1(−3x+y=−5)Becomes:8x+y=−163x−y=5Add these equations to eliminate y:11x=−11Then solve11x=−11for x:11x=−1111x11=−1111(Divide both sides by 11)x=−1

Now that we've found x let's plug it back in to solve for y.Write down an original equation:8x+y=−16Substitute−1forxin8x+y=−16:(8)(−1)+y=−16y−8=−16(Simplify both sides of the equation)y−8+8=−16+8(Add 8 to both sides)y=−8

Answer 2

x=-2.2 y=-1.6

Explanation:

8x+y=-16

-3x+y=5

5x=-11

x=-11/5 or -2.2

-3x+y=5

-3(-2.2)+y=5

6.6+y=5

-6.6+y=-6.6

y=-1.6