Solve the system by substitution.

3x-3y=-12,y=-3x-12 i see its the same problem rewritten but i confused on what i should do any help would be nice

2 answers

If 3x - 3y = -12, then
x - y = -4. You also can rewrite the second equation to get
3x + y = -12
Therefore, adding the two equations,
4x = -16 , so x = -4.
That tells you that y must be 0.
@drwls: The solution you provided is correct, however, it was asked that this system be solved by means of substitution.

In the second equation, it is given that y=-3x-12. Simply by replacing (i.e. substituting) y in the first equation by the value that was given for y in the second equation, we get:

3x-3(-3x-12)=-12
<=> 3x+9x+36=-12
<=> 12x = -48
<=> x = -4

since y = -3x-12, y=0
Similar Questions
    1. answers icon 1 answer
  1. I am confused on how solve this substitution problem4y+3=3y+x 2x+4y=18 If you can, show work please (:
    1. answers icon 2 answers
  2. Solve the system by substitution.-x-y-z=-8 -4x+4y+5z=7 2x+2z=4 I am very confused about this. Can someone please explain how to
    1. answers icon 3 answers
  3. Solve the system by substitution.-x-y-z=-8 -4x+4y+5z=7 2x+2z=4 I am very confused about this. Can someone please explain how to
    1. answers icon 4 answers
more similar questions