Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

2x + 2y = 16
y = x – 4

A. (6, 2)
B. (2, 2)
C. (2, –2)
D. (6, –2)

Answer 1

correct one is A(6,2)

Answer 2

Ordered pair (x,y) is (6,2)

Explanation:

Use the substitution method to solve the system of equations.

`2x + 2y = 16` -----> first equation

`y=x-4` -------> second equation

Divide the first equation by 2

`2x + 2y = 16` -----> first equation

`x+y=8`

Now solve for y, subtract x from both sides

`y=-x+4`

Now plug in -x+8 for y in second equation

`y=x-4` -------> second equation

`-x+8=x-4`

Subtract x from both sides

`-2x+8=-4`

Subtract 8 on both sides

`-2x=-12`

Divide both sides by -2

x=6

now we plug in 6 for x in second equation

`y=x-4` -------> second equation

`y=6-4`

y=2

Ordered pair (x,y) is (6,2)