Question

Solve the system using substitution!

4x+4y=-2
y=-x

Worth (50 Points) If answered correctly

Answer 1

No solution!

Explanation:
4x+4(-x)=-2
4x+(-4x)=-2
4x-4x=-2
0x=-2
0≠-2

therefore there is no solution to the system because the x value subtracts from itself and 0 is not equal to -2.

Hope this helps!

Answer 2

Solution:

Given that:

• y = -x
• 4x + 4y = -2

Substitute the value of y into equation #2.

• 4x + 4(-x) = -2
• 4x - 4x = -2
• 0 ≠ -2

Since the equation has no variable and is false, this system has no solution.