Question

HELP I SUCK USING SUBSTITUTION!
solve using substitution:
-4x-6y=-6
-8x-6y=-18

Answer 1

Start with equation 1 and solve for -6y

-4x-6y=-6

-6y=-6+4x

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-8x-6y=-18

-8x+(-6y)=-18

-8x+(-6+4x)=-18 ... replace -6y with -6+4x

-8x-6+4x=-18

-4x - 6 = -18

I'll let you finish

Answer 2

We are able to replace -6y with -6 + 4x since -6y = -6 + 4x

Answer 3

is it (3,-1)?

Answer 4

good

Answer 5

Notice both equations have \(-6y\) as terms, so it should be particularly easy to substitute for.$$-4x-6y=-6\\-6y=4x-6$$... so we may substitute into our other equation \(-8x-6y=-18\) to yield $$-8x+4x-6=-18\\-4x-6=-18\\-4x=-12\\x=3$$which we may plug into our earlier expression to determine \(y\):$$-6y=4x-6=4(3)-6\\-6y=6\\y=-1$$