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`y = 2x - 5, y = 5x - 11` Use any method to solve the system.

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Borys Shumyatskiy eNotes educator | Certified Educator

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Use the substitution method: substitute `y=2x-5` into the second equation and obtain

`2x-5=5x-11,` or

`3x=6,` or `x=2.`

Therefore `y=2x-5=-1.`

The answer: `x=2,` `y=-1.`

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loves2learn | Student

Rearrange the equations to Ax+By=C form:




Multiply first equation by -1.

After multiplying we have the following system:


 add the two equations together to eliminate y from the system.

find x

substitute the value for x into the original equation to solve for y.

Therefore, `x=2 and y=-1`