y – 5x = –6 and 3y – 15x = –12
To solve this system of equations, we can use the method of substitution.
First, let's solve the first equation, y - 5x = -6, for y. Adding 5x to both sides of the equation, we get:
y = 5x - 6
Now, we can substitute this expression for y into the second equation, 3y - 15x = -12:
3(5x - 6) - 15x = -12
Multiplying out the expression, we get:
15x - 18 - 15x = -12
Combining like terms, 15x - 15x = 0, so the equation becomes:
-18 = -12
This is not a true statement, which means there is no solution to this system of equations.