SOLUTION: Please help me solve this system of equations by the addition method: 6x+9y=-41 15x-6y=40 I tried to solve the problem but I came up with using a different number for each

Question 410101: Please help me solve this system of equations by the addition method:
6x+9y=-41
15x-6y=40
I tried to solve the problem but I came up with using a different number for each equation. I know you have to use the same number for both equations.
Thanks for your help!
Vanessa
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
solve this system of equations by the addition method:
6x + 9y = -41
15x - 6y = 40
:
Multiply the 1st equation by 2, multiply the 2nd equation by 3, results
12x + 18y = -82
45x - 18y = 120
--------------------addition eliminates y, find x
57x = 38
x =
:
Find y using the 1st original equation
6() + 9y = -41
+ 9y = -41
9y = -41 -
9y = - -
9y = -
which is, fortunately:
9y = -45
y =
y = -5
:
Summarize: x=; y = -5
:
:
See if that works in the 2nd equation
15x - 6y = 40
15() - 6(-5) = 40
) + 30 = 40
10 + 30 = 40; so these solutions for x and y are correct
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