Answer:
(6, 3 )
Explanation:
Given the 2 equations
5x - y = 27 → (1)
5x + 4y = 42 → (2)
Multiplying (1) by - 1 and adding to (2) will eliminate the x- term, that is
- 5x + y = - 27 → (3)
Add (2) and (3) term by term to eliminate the x- term
5y = 15 ( divide both sides by 5 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (2)
5x + 4(3) = 42
5x + 12 = 42 ( subtract 12 from both sides )
5x = 30 ( divide both sides by 5 )
x = 6
Solution is (6, 3 )