Solving Systems by Substitution

In this section, we learn about Solving Systems by Substitution. We will be continuing to learn about systems of linear equations in two variables. In this section, we focus on obtaining our solution via the substitution method. This method is more practical than graphing. To solve a system of linear equations by substitution, we begin by solving one of the equations for one of the variables. Next, we plug in for that variable in the other equation. This will give us a linear equation in one variable. We then solve for one unknown and plug this result into either original equation to gain the other unknown. At the end, we can check our result by plugging in the ordered pair for the x and y in each original equation.