Which choice is a solution to the system of equations?

y=2x-3

y-9=-x

A (-3,12)

B (4,5)

C (5,4)

D (12,-3)

The answer to these question is B

B

Step-by-step explanation:

Given the 2 equations

y = 2x - 3 → (1)

y - 9 = - x → (2)

Substitute y = 2x - 3 into (2)

2x - 3 - 9 = - x

2x - 12 = - x (add x to both sides)

3x - 12 = 0 (add 12 to both sides)

3x = 12 (divide both sides by 3)

x = 4

Substitute x = 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 2 (4) - 3 = 8 - 3 = 5

Solution is (4, 5) → B