Answer:
x = 3, y = 7
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