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

correct ordered pair.

2x + 3y = 11

y = x - 3

A. (3,0)

B. (5,2)

C. (1,3)

D. (4,1)

The answer is C (1,3)

D

Step-by-step explanation:

Given the 2 equations

2x + 3y = 11 → I (1)

y = x - 3 → (2)

Substitute y = x - 3 into (1)

2x + 3 (x - 3) = 11 ← distribute parenthesis and simplify left side

2x + 3x - 9 = 11

5x - 9 = 11 (add 9 to both sides)

5x = 20 (divide both sides by 5)

x = 4

Substitute x = 4 into (2) for corresponding value of y

y = 4 - 3 = 1

Solution is (4, 1) → D