SOLUTION: Identify the solution(s) of the system of equations, if any 3x-2y=6 5x=5-25y is it a) (28/13, 3/13) b) (-3/17, 32/17) c) (32/17, -3/17) d) (32/9, 7/3)

Algebra ->  Test -> SOLUTION: Identify the solution(s) of the system of equations, if any 3x-2y=6 5x=5-25y is it a) (28/13, 3/13) b) (-3/17, 32/17) c) (32/17, -3/17) d) (32/9, 7/3)      Log On


   

Question 894586: Identify the solution(s) of the system of equations, if any
3x-2y=6
5x=5-25y
is it
a) (28/13, 3/13)
b) (-3/17, 32/17)
c) (32/17, -3/17)
d) (32/9, 7/3)
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the system this way:
3x-2y=6
5x+25y=5

Multiply first one by 5, and second one by 3:
15x-10y=30
15x+75y=15

Subtract an equation from the other:
-85y=15, y=-15%2F85, highlight%28y=-3%2F17%29

Back to original equations,
Multiply first one by 25
Multiply second one by 2:
75x-50y=150
10x%2B50y=10

Add the corresponding members:
85x=160
x=160%2F85
highlight%28x=32%2F17%29