Final answer:
To solve the system of equations using the substitution method, we substitute the value of y in one equation with the expression in terms of x from the other equation. Then we solve for the value of x and substitute it back to find the value of y.
Step-by-step explanation:
To solve the given system of equations using the substitution method, we substitute the value of y in the second equation with -8x from the first equation.
Substituting y = -8x into the second equation, we get 4x - (-8x) = 3.
Simplifying this equation, we have 4x + 8x = 3, which simplifies to 12x = 3. Solving for x gives x = 3/12 = 1/4. Substituting this value of x back into the first equation, we find y = -8(1/4) = -2.
Therefore, the solution to the system of equations is x = 1/4 and y = -2.
Learn more about Solving equations using substitution