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