Question

Solve the system by substitution.
y=2x+3
3x+2y=6

Answer 1

(0, 3 )

Explanation:

y = 2x + 3 → (1)

3x + 2y = 6 → (2)

substitute y = 2x + 3 into (2)

3x + 2(2x + 3) = 6 ← distribute parenthesis and simplify left side

3x + 4x + 6 = 6

7x + 6 = 6 ( subtract 6 from both sides )

7x = 0 , then

x = 0

substitute x = 0 into (1) for y

y = 2(0) + 3 = 0 + 3 = 3

solution is (0, 3 )