What is the answer to this problem? y-x=4;3x+y=16

x = 3, y = 7

Step-by-step explanation:

Given the 2 equations

y - x = 4 → (1)

3x + y = 16 → (2) ← rearrange

y + 3x = 16 → (2)

Multiplying (1) by - 1 and adding to (2) will eliminate the y- term

- y + x = - 4 → (3)

Add (2) and (3) term by term to eliminate y

4x = 12 ( divide both sides by 4 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

y - 3 = 4 ( add 3 to both sides )

y = 7