Solve by Substitution -x-3y=6 , x+3y=6

Problem

{[−x−3*y=6],[x+3*y=6])

Solution

1. Isolate a variable in one of the equations. We can solve the second equation for x by subtracting 3*y from both sides.

x=6−3*y

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

−(6−3*y)−3*y=6

3. Distribute the negative sign through the parentheses.

−6+3*y−3*y=6

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

−6+0=6

5. Analyze the resulting statement.

−6=6

6. Conclude based on the contradiction. Since −6=6 is a false statement and all variables have been eliminated, the system of equations is inconsistent and has no solution.

Final Answer

No solution

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