Answer:
The solution to the system is: (3, 2)
Explanation:
We are given:
y = -2x + 8
and
4x - 2y = 8
We are given the "y" in this equation.
So when solving these questions, it is better to use the substitution method when solving
So we substitute "y = -2x + 8" with "y" in the equation "4x - 2y = 8
So, the equation would look like this: 4x - 2(-2x + 8) = 8
And we are solving for "x" in the equation
4x − 2(−2x + 8) = 8 (Distribute)
−2(−2x+8) (Simplify)
4x + 4x − 16 = 8 (Combine Like Terms)
(4x + 4x) − 16 = 8 (Simplify)
8x − 16 = 8 (Add 16 to both sides)
8x - 16 + 16 = 8 + 16 (Simplify)
8x = 24 (Divide both sides by 8)
8x/8 = 24 (Simplify)
x = 3
Now that we know the "x", in this equation, we can solve for the "y"
We just substitute the "x" into the equation "y = -2x + 8"
The equation looks like this: y = -2(3) + 8
y = -2(3) + 8
Multiply −2 and 3 to get −6
y = -6 + 8
Add −6 and 8 to get 2
y = 2
(x, y) = (3, 2)
The solution to the system is: (3, 2)