Question

what is the solution to 2x-5y=24 and 15x-17y=16

Answer 1

elimination method...
2x - 5y = 24 ---> (15)2x - 5y = 24
15x - 17y = 16 --> (-2)15x - 17y = 16
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30x - 75y = 360 (result of multiplying by 15)
-30x + 34y = - 32 (result of multiplying by -2)
----------------add
0 - 41y = 328
-41y = 328 (divide by -41 on both sides to get y by itself)
-41y/-41 = 328/-41
y = -8

now sub -8 in for y in either of the original equations...
2x - 5y = 24
2x - 5(-8) = 24
2x + 40 = 24
2x + 40 - 40 = 24 - 40
2x = 24 - 40
2x = - 16
2x/2 = -16/2
x = - 8

check...
2x - 5y = 24
2(-8) - 5(-8) = 24
-16 + 40 = 24
24 = 24 (correct)

SOLUTION : (-8,-8) ---> x = -8 and y = -8