Question

Solve by elimination

Answer 1

-3x+y = -28

-x-6y = -3

~~~~~~~~~~~~~

Eliminate x:

-3x+y=-28

-x-6y=-3

~~~~~~~~~~~~~

-3x+y=-28

-3(-1)x-3(-6)y=(-3)(-3)

~~~~~~~~~~~~~

3x-1y=28

3x+18y=9

19y=-19

Therefore:

19y=-19

÷19   ÷19

y=$\frac{-19}{19}$

y=1

~~~~~~~~~~~~~

3x-1y=28

y=-1

~~~~~~~~~~~~~

3x-1(-1)=28

3x+1=28

    -1    -1

3x=28-1

3x=27

÷3  ÷3

x=$\frac{27}{3}$

↑ They cancel each other out

x=9

~~~~~~~~~~~~~

x=9

y=-1

Answer is: (9,-1)