Question

Which coordinate is a solution for the system containing the equations y=x+3 and y=4x?

Answer 1

(1, 4 )

Explanation:

Given the 2 equations

y = x + 3 → (1)

y = 4x → (2)

Substitute y = 4x into (1)

4x = x + 3 ( subtract x from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 4x = 4 × 1 = 4

Solution is (1, 4 )