Answer:
(1.5, - 2.5 )
Explanation:
7x + 2y = 5.5 → (1)
3x - 5y = 17 → (2)
multiplying (1) by 5 and (2) by 2 and adding will eliminate y
35x + 10y = 27.5 → (3)
6x - 10y = 34 → (4)
add (3) and (4) term by term to eliminate y
41x + 0 = 61.5
41x = 61.5 ( divide both sides by 41 )
x = 1.5
substitute x = 1.5 into either of the 2 equations and solve for y
substituting into (1)
7(1.5) + 2y = 5.5
10.5 + 2y = 5.5 ( subtract 10.5 from both sides )
2y = - 5 ( divide both sides by 2 )
y = - 2.5
solution is (1.5, - 2.5 )