Once we've solved for x, we use its value to solve for y. Steps to Solving a Linear System using Substitution 3a 5 + 5 40 + 5, Add 5 to each side of the equation 3a 45, Simplify 3a / 3 45 / 3, Divide both. See method Steps to solve systems of equations by substitution The substitution method for solving systems of equations consists of solving one of the equations for one of the variables. So we substitute what y is equal to in terms of x into the first equation, thus being able to solve for x. ALGEBRA Relevant for Learning to solve systems of equations with the substitution method. Here, we see that the second equation has already been solved for one of the variables, that variable being y. To solve for the system by the substitution method, we take one of the equations and solve it for either variable (x= or y=) then substitute this into the other equation. 3) Once you solved one for one of the variables, plug this solution into one of the original equations and solve for the other variable. 2) Substitute the expression into the other equation and solve for the variable. It can solve systems of linear equations or systems involving nonlinear equations, and it can search specifically for integer solutions or solutions over another domain. This is already done for you for this section. Compute A powerful tool for finding solutions to systems of equations and constraints WolframAlpha is capable of solving a wide variety of systems of equations. However, you do not want to use this method all the time. The system consists of the following equations: 4x + 2y = -2 and y = 6x - 5 Steps 1) Solve one of the equations for x or y. You should now know how to solve by substitution.
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