`y = 2x - 5, y = 5x - 11` Use any method to solve the system.
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Borys Shumyatskiy
| Certified Educator
calendarEducator since 2015
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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:
`-2x+y=-5`
`-5x+y-11`
Multiply first equation by -1.
After multiplying we have the following system:
`2x-y=5`
`-5x+y=-11`
add the two equations together to eliminate y from the system.
`-3x=-6`
find x
`x=2`
substitute the value for x into the original equation to solve for y.
`-2(2)+y=-5`
`y=-1`
Therefore, `x=2 and y=-1`
Student Answers