Final answer:
To solve the system of equations using the substitution method, substitute one equation into the other to eliminate one variable.
Step-by-step explanation:
To solve the system of equations using the substitution method, you need to substitute one equation into the other to eliminate one variable. Let's use the first equation, which is y = 4x - 6, and substitute it into the second equation.
Replace y in the second equation with 4x - 6, so you have: -8x + 2(4x - 6) = -12. Simplify this equation by distributing the 2.
Combine like terms and solve for x to find its value. Then substitute this value back into the first equation to solve for y.