Substitution Method Calculator

The substitution method is a way to solve a system of linear equations by solving one equation for a variable and then substituting that expression into the other equation.

Steps:

1. Isolate a Variable: Choose one of the equations and solve it for either x or y. It's easiest to pick an equation where a variable has a coefficient of 1 or -1.
2. Substitute: Plug the expression you found in step 1 into the *other* equation. This will leave you with an equation that has only one variable.
3. Solve: Solve this new equation for the single variable.
4. Back-Substitute: Take the value you found in step 3 and plug it back into the equation from step 1 to find the value of the other variable.
5. Check Solution: You can check your answer by plugging both values back into the original equations.