Use the substitution method to solve the system of equations. Choose the

correct ordered pair

x + 2y = 12

y = x + 3

O A. (5,8)

O B. (5,2)

O C. (2,1)

O D. (2,5)

D

Step-by-step explanation:

Given the 2 equations

x + 2y = 12 → (1)

y = x + 3 → (2)

Substitute y = x + 3 into (1)

x + 2 (x + 3) = 12 ← distribute and simplify left side

x + 2x + 6 = 12

3x + 6 = 12 (subtract 6 from both sides)

3x = 6 (divide both sides by 3)

x = 2

Substitute x = 2 into (2) for corresponding value of y

y = 2 + 3 = 5

Solution is (2, 5) → D

D. (2,5)

Step-by-step explanation:

For X:

2+2 (5) = 12

2+10=12

For Y:

5=2+3