Question

What is the solution of the system of equations?

y = 3x – 4
–3y = –9x + 12

(2, –2)
(–4, 8)
infinitely many solutions
no solution

Answer 1

So the easiest way to solve is to use substitution method. This is what you do.

y = 3x - 4
-3y = -9x + 12
(Substitute the y-value in the second equation with the first equation.)
-3(3x - 4) = -9x + 12
Distribute.
-9x + 12 = -9x + 12
Subtract 12 from both sides.
-9x = -9x + 0
Add 9x to both sides.
0 = 0
Both numbers are equal so it is infinate solution as the answer.
I hope this helps love! :)