Answer:
(1, - 2 )
Step-by-step explanation:
Given the equations
9x + 2y = 5 ( subtract 9x from both sides )
2y = 5 - 9x ( divide terms by 2 )
y = 2.5 - 4.5x → (1)
7x - 3y = 13 → (2)
Substitute y = 2.5 - 4.5x into (2)
7x - 3(2.5 - 4.5x) = 13
7x - 7.5 + 13.5 = 13 , that is
7x + 6 = 13 ( subtract 6 from both sides )
7x = 7 ( divide both sides by 7 )
x = 1
Substitute x = 1 into (1) and evaluate for y
y = 2.5 - 4.5(1) = 2.5 - 4.5 = - 2
solution is (1, - 2 )
