Question

Substitution method:
Solve with the solution:
y=8x-12
-4x-4y=-8

Answer 1

To solve the equations using the substitution method, we will solve one equation for one variable and substitute it into the other equation.

From the equation y = 8x - 12, we can solve for y:

y = 8x - 12

Next, we substitute this value for y into the equation -4x - 4y = -8:

-4x - 4(8x - 12) = -8

Simplifying the equation:

-4x - 32x + 48 = -8

-36x + 48 = -8

Subtracting 48 from both sides:

-36x = -56

Dividing both sides by -36:

x = -56 / -36

Simplifying:

x ≈ 1.56

Now, substitute this value of x into the equation y = 8x - 12:

y = 8(1.56) - 12

y ≈ 4.48

Therefore, the solution to the system of equations is x ≈ 1.56 and y ≈ 4.48.