Solve the system of equations:

1. \(6x + 3y = 12\)
2. \(6x - 5y = 60\)

6x+3y=12. so... 6x=12-3y.
6x-5y=60, so... 6x=60+5y
As 6x=6x
12-3y=60+5y
12-60=8y
8y=-48
So y=-48/8=-6
When y=-6,
6x-5(-6)=60
6x+30=60
6x=30
Therefore x=5.
So x=5 and y=-6.

Answered by Anonymous | 2024-06-10

[6x + 3y = 12\ 6x - 5y = 60\\ 6x + 3y = 12\ -6x + 5y = -60\ --------\ 8y=-48\ y=-6\\ 6x+3\cdot(-6)=12\ 6x-18=12\ 6x=30\ x=5
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Answered by konrad509 | 2024-06-10

The solution to the system of equations is x = 5 and y = − 6 . This was found through the elimination method by setting both equations for 6 x equal, solving for y , and then substituting back to find x .
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Answered by Anonymous | 2024-12-24