Answer:
(6, - 1 )
Step-by-step explanation:
Given the 2 equations
2x + y = 11 → (1)
[tex]\frac{1}{2}[/tex] x - 5y = 8 ← (2)
Multiplying (2) by - 4 and adding to (1) will eliminate the x- term
- 2x + 20y = - 32 → (3)
Add (1) and (3) to eliminate x
0 + 21y = - 21
21y = - 21 ( divide both sides by 21 )
y = - 1
Substitute y = - 1 into either of the 2 equations and solve for x
Substituting into (1)
2x - 1 = 11 ( add 1 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
solution is (6, - 1 )
