Solving System Of Equations by Elimination

1.) - 14 = - 20y - 7x

10y + 4 = 2x

2.) 3 + 2x - 7y = 10x

-3 - 7y = 10x

1). On the second equation I subtracted 10y from both sides. So I get:

-20y-7x=-14

-10y+2x=4

I then multiplied the 2nd equation by - 2

-20y-7x=-14

20y-4x=-8

You combine like terms

-11x=-22

Divide both terms by - 11

x=2

Then plug in x

-20y-7 (2) = - 14

-20y-14=-14

Add 14 on both sides

-20y=0

Divide both sides by - 20

y=0

So in conclusion:

x=2 y=0

2). Add 7y in both equations so I get:

10x+7y=3

10x+7y=-3

So I multiply - 1 on the top side.

-10x-7y=-3

10x+7y=3

Add like terms

0=0

No solution is the answer.