Solve the system of equations

Y=-2x+1

6x+2y=22

Okay, the first equation is already in the y=mx+b form.

Lets convert the second equation into the y=mx+b form to make it easier to solve.

6x+2y = 22

2y = - 6x + 22

Divide both sides by 2

y = - 3x + 11

So now you you have

y = - 2x + 1

and y = - 3x + 11

You can make both equations equal each other to find x

-2x + 1 = - 3x + 11

Solve by combining like terms

x = 10

Plug in 10 in place of either equation - just one

Lets put 10 into the first one

-2 (10) + 1

y = - 19

So your x and y for this problem is

(10,-19)