Solve by Substitution 3x-y=7 , -3x+y=5

Problem

{[3*x−y=7],[−3*x+y=5])

Solution

1. Isolate the variable y in the first equation by subtracting 3*x from both sides and multiplying by −1

3*x−y=7

−y=−3*x+7

y=3*x−7

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

−3*x+(3*x−7)=5

3. Simplify the resulting equation by combining like terms.

−3*x+3*x−7=5

−7=5

4. Interpret the result. Since the statement −7=5 is a contradiction and is never true, the system of equations has no solution. This indicates that the two lines are parallel and do not intersect.

Final Answer

No solution

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