Question

Two times a number x minus six times another number y is negative six.

Negative two times a number x plus five times another number y is eighteen.
Write the system of equations.

Answer 1

`2x-6y=6, 2x+5y=18`

Explanation:

Translating the phrase into an equation, we get:

`2x-6y=6`

And:

`-2x+5y=18`

So the system of equations would be:

`2x-6y=6, 2x+5y=18`

If you want to put it into slope-intercept form, you can simplify both equations:

`2x-6y=6\\6y=2x-6\\y=(1)/(3)x-3`

`2x+5y=18\\5y=-2x+18\\y=-(2)/(5)x+(18)/(5)`