Question

What is the correct order pair of y=3x+2 and y=x+12 a.(0,12) b(3,2) c(5,17) d(0,2)

Answer 1

c

Explanation:

y = 3x + 2 → (1)

y = x + 12 → (2)

substitute y = 3x + 2 into (2)

3x + 2 = x + 12 ( subtract x from both sides )

2x + 2 = 12 ( subtract 2 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

substitute x = 5 into either of the 2 equations and solve for y

substituting into (2)

y = x + 12 = 5 + 12 = 17

solution is (5, 17 )