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Solve this system using elimination:
3x-y=5; -2x+6y=18
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Given Problem
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18x-6y=30
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I see that if I multiply the first equation by 6 and add it to
the second equation, that the y variables will drop. So in this step I
multiply the first equation by 6.
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18x-6y=30
-2x+6y=18
16x=48
x=3
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Add the result from the last step to the second equation. The y
variables drop. Solve for x.
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-2(3)+6y=18
-6+6y=18
6y=24
y=4
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Substitute this value for x back into one of the two original equations
and solve for y.
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(3,4)
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Solution of system
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3(3)-(4)=5
9-4=5
5=5
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Check solution in the first equation. It checks.
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-2(3)+6(4)=18
-6+24=18
18=18
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Check solution in the second equation. It checks.
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