Question

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

Answer 1

Answer:

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

Step-by-step 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:

$2x-6y=6\\6y=2x-6\\y=\frac{1}{3}x-3$

$2x+5y=18\\5y=-2x+18\\y=-\frac{2}{5}x+\frac{18}{5}$