Answer:
(- 2, - 8 )
Explanation:
3x - 2y = 10 ( add 2y to both sides )
3x = 2y + 10 → (1)
9x + 4y = - 50 , or
3(3x) + 4y = - 50 → (2)
substitute 3x = 2y + 10 into (2)
3(2y + 10) + 4y = - 50
6y + 30 + 4y = - 50
10y + 30 = - 50 ( subtract 30 from both sides )
10y = - 80 ( divide both sides by 10 )
y = - 8
substitute y = - 8 into either of the 2 equations and solve for x
substituting into (1)
3x = 2(- 8) + 10 = - 16 + 10 = - 6 ( divide both sides by 3 )
x = - 2
solution is (- 2, - 8 )