Answer:
x = 2, y = 1
Explanation:
Given the 2 equations
3x = - 4y + 10 ( add 4y to both sides )
3x + 4y = 10 → (1)
4x + 3y = 11 → (2)
Multiplying (1) by 4 and (2) by - 3 and adding will eliminate x
12x + 16y = 40 → (3)
- 12x - 9y = - 33 → (4)
Add (3) and (4) term by term to eliminate x, that is
7y = 7 ( divide both sides by 7 )
y = 1
Substitute y = 1 into either of the 2 equations and solve for x
Substituting into (1)
3x + 4(1) = 10
3x + 4 = 10 ( subtract 4 from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
solution is (2, 1 )