How Do You Solve Systems Of Linear Equations By Substitution?
Solving systems of linear equations is a skill not only taught in basic algebra but also tested on the ACT and SAT exams and even job application tests.”Solving a system” is fancy language for finding the values of x and y that will make two equations true. “Substitution” means isolating one of the variables, x or y, in one of the equations, then “substituting” it, or plugging it in, to the other. Understand that solving a “system” means you are working with two equations. An “equation” means that an equals sign separates two sides of a number sentence. Each equation will have two “variables,” or unknown values. Usually, variables are identified with the letters x and y, though any letters can be used.For this example, we will work with the following two equations:2x + y = 812 + 3x = 10y + 1 Choose one of the equations to start with. The first step is isolating either x or y. Isolate means to set it on one side of the equals sign.Let’s choose the first equation: 2x + y = 8.Since y has
