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- Write Equations: Write down the system of equations.We have the following system of equations: ...() ...()We need to find the values of and that satisfy both equations simultaneously.
- Solve for : Solve the second equation for . From equation (), we can express in terms of : ...() This gives us in terms of , which we can use to substitute into the first equation.
- Substitute and Simplify: Substitute the expression for from equation () into equation ().Substituting into equation () gives us:Now we need to simplify and solve for .
- Identify Contradiction: Simplify the equation and solve for .The terms and cancel each other out, so we are left with:This is a contradiction, which means there is an error in our calculations or the system of equations does not have a solution.
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