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

Answer:

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

Step-by-step 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)