8x - 6y=-16

5x + y = 28

In using Elimination?

x=4

y=8

Step-by-step explanation:

8x - 6y=-16 Equation 1

5x + y = 28 Equation 2

To solve with elimination method

Multiply equation 2 by 6, the coefficient of y in equation 1, so y can have the same coefficient.

6 (5x + y = 28)

30x+6y=168 Equation 3

8x-6y=-16 Equation 1

Add equation 1 and equation 3 to eliminate y

30x+8x=38x

6y + (-6y) = 6y-6y=0

168 + (-16) = 168-16=152

38x=152

Divide both sides by 38

38x/38=152/38

x=152/38

x=4

Substitute x for 4 in equation 2

5x + y = 28

5 (4) + y=28

20+y=28

Make y the subject

y=28-20

y=8

Multiple (5x+y = 28) by 6 giving you 30x + 6y = 168 and then you would add the two equations together, giving you 38x = 152, divide both sides by 38, giving you 4. after this, you would sub x=4 into one of the equations (i'm using the 5x + y = 28) which would give me 20 + y = 28, subtract 20 by both sides, giving you y = 8. so your answer is (4,8)