Question

Solve the system of linear equations by substitution.
1/2x +y=-4
y = 2x + 16

Answer 1

sub 2x+16 for y into the 1st line so
1/2x+2x+16=-4 now find x
which is x=8 not plug in -8 for x, does not matter which one
you will get y=0
answer•
x=-8
y=0
(-8,0)

Answer 2

Answer:

y = 0

x = -8

Step-by-step explanation:

1/2x + y = - 4

y = 2x + 16

1/2x + (2x + 16) = - 4

1/2x + 2x = - 4 - 16

5/2x = -20

2/5 x 5/2x = -20 x 2/5

x = -40/5

x = -8

y = 2x + 16

y = 2(-8) + 16

y = -16 + 16

y = 0

Check:

1/2x + y = - 4

y = 2x + 16

1/2(-8) + (0) = -4

-4 + 0 = -4

-4 = -4

y = 2x + 16

(0) = 2(-8) + 16

0 = -16 + 16

0 = 0