Question

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the first equation is substituted into the second equation.

12x – y = –4
4x – 3y = –6

Answer 1

from the first equation, 12x - y = -4
we take -y to the other side
12x = -4 + y (you get the sign change right?)
then we take the -4 to the other side
12x + 4 = y (1)
Now put value of y from (1) in the other equation
=> 4x - 3(12x +4) = -6
4x - 36x -12 = -6
-32x = -6 + 12
-32 x = -6
x = 6/32 = 3/16