Answer:
(3, - 2 )
Step-by-step explanation:
Given the 2 equations
x - 6y = 15 → (1)
6x + 5y = 8 → (2)
Rearrange (1) expressing x in terms of y by adding 6y to both sides
x = 15 + 6y → (3)
Substitute x = 15 + 6y into (2)
6(15 + 6y) + 5y = 8 ← distribute and simplify left side
90 + 36y + 5y = 8
90 + 41y = 8 ( subtract 90 from both sides )
41y = - 82 ( divide both sides by 41 )
y = - 2
Substitute y = - 2 into (3) for corresponding value of x
x = 15 + 6(- 2) = 15 - 12 = 3
Solution is (3, - 2 )
