Question 50183
Solve the system by substitution.

4x -12y = 5
-x + 3y = -1

First we need to figure our which equation we want to use as the substitution and solve for one of the variables.

-x + 3y = -1 seems like the best choice since the x variable has the coefficieant of 1. So lets solve for x in order to isolate the variable.

-x + 3y = -1
lets subtract 3y from both sides to isolate the x.
so...

-x = -3y - 1
now we can distribute out the - sign to make it easier.

x = 3y +1
now we simply substitute our new equation for the variable x in the secound equation 4x - 12y = 5

4(3y +1) -12y = 5

Now we can just solve.

4(3y +1) -12y = 5
12y +4 -12y = 5
4 = 5
is this possible?
No.
so our solution 0 or empty set { }.

I hope this helps.
Good Luck!