Question

How do solve the following linear system?: `-6x+5y=1 , 5x-5y=10`?

Answer 1

`(-11,-13)`

Explanation:

Since you have `+5y` in one equation and `-5y` in the other equation, you can add both equations to cancel out the y terms and solve for x.

`-6x + 5x=-x`
`5y-5y=0`
`1+10=11`
therefore
`-x=11`
multiplying both sides by -1:
`x = -11`

plugging this back into the first equation:

`-6(-11)+5y=1`
`66+5y=1`
subtracting 66 from both sides:
`5y=-65`
divide both sides by 5:
`y=-13`

putting the x-values and y-values into one point gives:
`(-11,-13)`
as the solution