Solve by Substitution -x-2y=-8 , x+2y+8=0

Problem

{[−x−2*y=−8],[x+2*y+8=0])

Solution

1. Isolate a variable in the first equation. We can solve for x by adding 2*y to both sides and then multiplying by −1

−x=2*y−8

x=−2*y+8

2. Substitute the expression for x into the second equation.

(−2*y+8)+2*y+8=0

3. Simplify the resulting equation by combining like terms.

−2*y+2*y+8+8=0

16=0

4. Interpret the result. Since the substitution leads to a false statement (16 = 0$), the system of equations is inconsistent.

5. Conclude that there are no values for x and y that satisfy both equations simultaneously.

Final Answer

No solution

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