Solve by Substitution -x+3y-3=0 , x-3y=3

Problem

{[−x+3*y−3=0],[x−3*y=3])

Solution

1. Isolate a variable in the second equation. We can add 3*y to both sides to solve for x

x=3*y+3

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

−(3*y+3)+3*y−3=0

3. Distribute the negative sign through the parentheses.

−3*y−3+3*y−3=0

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

−6=0

5. Interpret the result. Since the variables have canceled out and the resulting statement −6=0 is false, the system of equations is inconsistent.

Final Answer

No solution

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