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)

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

Step-by-step explanation:

Use the substitution method to solve the system of equations.

   -----> first equation

-------> second equation

Divide the first equation by 2

   -----> first equation

Now solve for y, subtract x from both sides

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

-------> second equation

Subtract x from both sides

Subtract 8 on both sides

Divide both sides by -2

x=6

now we plug in 6 for x in second equation

-------> second equation

y=2

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

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1