What is the value of x in the solution to this system of equations?

Question

x = 4y – 6
3x – 6y = -24

-2

-10

0

-1

Answer 1

x = 4y - 6

3x - 6y = -24

Substitute x = 4y - 6 into the second equation:

3(4y - 6) - 6y = -24
12y - 18 - 6y = -24
6y - 18 = -24
6y = -6
y = -1

Now, substitute y = -1 into x = 4y - 6:

x = 4(-1) - 6
x = -4 - 6
x = -10

Therefore, the solution to the system of equations is x = -10.