Substitution Method Substitution method can be applied in four steps. Solve one of the equations for either x = or y = . Substitute the solution from step 1 into the other equation. Solve this new equation. Solve for the second variable. Step 1: Solve one of the equations for either x = or y = . Click to see full answer. Also, how do you solve for substitution?The method of solving “by substitution” works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, “substituting” for the chosen variable and solving for the other. Then you back-solve for the first variable.Also, what is the difference between substitution and elimination in math? Well for the substitution method you solve an equation for a particular variable and then substitute that equation into the other one and solve. With elimination you multiply an equation by a number and then add the two equations together and solve that way. So now to solve the system using substitution. Also asked, how do you solve two equations with substitution? To solve systems using substitution, follow this procedure: Select one equation and solve it for one of its variables. In the other equation, substitute for the variable just solved. Solve the new equation. Substitute the value found into any equation involving both variables and solve for the other variable. What is the meaning of substitution in math?Math definition of Substitution: Substitution – A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.