Question

Show work to find the solution for the system: y = 3x + 5 12x - 4y = -20

Answer 1

Answer:

Infinently Many solutions!

Any number would work.

Hope this helps! :)

Answer 2

Answer:  Infinitely many solutions

The solutions are of the form (x,y) = (x,3x+5) for any real number x.

========================================================

Explanation:

Plug the first equation into the second. We'll replace y with 3x+5

12x-4y = -20

12x-4( y ) = -20

12x-4(3x+5) = -20 .... y replaced with 3x+5

12x-12x-20 = -20

0x-20 = -20

0-20 = -20

-20 = -20

We end up with a true equation no matter what x is.

Therefore, this system has infinitely many solutions.

Each solution is of the form (x,y) = (x,3x+5) because y = 3x+5.