Provide an example of how to solve a linear equation with two variables, such as: Point out that linear equations with two variables have the following form: ax + by + c = 0Īlso emphasize that while the solution to linear equations in one variable is a number, the solution to linear equations in two variables is an ordered pair. In algebra 2, linear equations with two variables are those equations that have two variables, the degree of which must be 1. You can check out our article that includes a bundle of freebies for more guidelines on the properties of equality. You may also want to review kids’ knowledge on the properties of equality, as we apply these constantly when solving linear equations. We can check the solution in the original solution: To do this, we’ll divide by 2 on both sides of the equation: To further simplify the equation, we’ll try to get rid of the constant 2 on the left. In other words, we’ll have the following: By doing so, the original 3 and the new 3 that we’re subtracting on the left side will cancel each other out and become 0. Since the variable in the above example is already on the left, we’ll try to move 3 to the right hand of the equation.Įxplain that we can achieve this by subtracting 3 from both sides of the equation. Remind students that the first thing that we want to do is get all the variables on one side of the equation and all the constant terms on the other side of the equation. Now take any linear equation with one variable and provide step-by-step instructions on how to solve it, such as: You can point out that linear equations in one variable are equations of the following form: ax + b = 0, where a and b are integers and x is a variable. When teaching linear equations, the first thing you’ll want to do is check kids’ knowledge of simpler one-variable equations and address any possible gaps. How to Teach Linear Equations One-variable Linear Equations
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