Answer:
(7, 1 )
Step-by-step explanation:
2x + 5y = 19 → (1)
3x - 2y = 19 → (2)
multiplying (1) by 2 and (2) by 5 then adding will eliminate y
4x + 10y = 38 → (3)
15x - 10y = 95 → (4)
add (3) and (4) term by term to eliminate y
19x + 0 = 133
19x = 133 ( divide both sides by 19 )
x = 7
substitute x = 7 into either of the 2 equations and solve for y
substituting into (1)
2(7) + 5y = 19
14 + 5y = 19 ( subtract 14 from both sides )
5y = 5 ( divide both sides by 5 )
y = 1
solution is (7, 1 )
