Answer:
(6, 5 )
Explanation:
3x + 2y = 28 → (1)
5x - 3y = 15 → (2)
multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y
9x + 6y = 84 → (3)
10x - 6y = 30 → (4)
add (3) and (4) term by term to eliminate y
19x + 0 = 114
19x = 114 ( divide both sides by 19 )
x = 6
substitute x = 6 into either of the 2 equations and solve for y
substituting into (1)
3(6) + 2y = 28
18 + 2y = 28 ( subtract 18 from both sides )
2y = 10 ( divide both sides by 2 )
y = 5
solution is (6, 5 )