Answer:
(4, - 6 )
Step-by-step explanation:
7x - y = 34 ( multiply through by - 1 )
- 7x + y = - 34 ( add 7x to both sides )
y = 7x - 34 → (1)
2x + 3y = - 10 → (2)
substitute y = 7x - 34 into (2)
2x + 3(7x - 34) = - 10
2x + 21x - 102 = - 10
23x - 102 = - 10 ( add 102 to both sides )
23x = 62 ( divide both sides by 23 )
x = 4
substitute x = 4 into (1)
y = 7(4) - 34 = 28 - 34 = - 6
solution is (4, - 6 )
