Solve by Substitution x+4y-8=0 , -x-4y=8

Problem

{[x+4*y−8=0],[−x−4*y=8])

Solution

1. Isolate a variable in the first equation. We can solve for x by adding 8 and subtracting 4*y from both sides.

x=8−4*y

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

−(8−4*y)−4*y=8

3. Distribute the negative sign through the parentheses.

−8+4*y−4*y=8

4. Combine like terms on the left side of the equation.

−8=8

5. Interpret the result. Since the substitution leads to a false statement (−8=8, there are no values for x and y that satisfy both equations simultaneously.

Final Answer

No solution

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