How Do You Solve Equations (2 Variables, Substitution)?

To solve algebraic equations in 2 variables, one easy method is the substitution method. This way of solving systems of equations will help you in a variety of math problems, including word problems, and equations of lines in the xy-plane. Write down the two equations, in any form, and pick the one that looks easier to work with first.

For example, let's say the two equations are: 4x - y = -16 3x = 18 - 5y We will pick the second equation to work with since one variable (the x term) is almost already isolated. Now, take that equation and completely isolate one of the variables (ie, solve for it). If we pick the x term we get: x = 6 - (5/3)y Don't worry that the other variable (the y term) is still around.

It is supposed to stay. Take the what you obtained in Step 1 (x = 6 - (5/3)y) and substitute it in the other equation (4x - y = -16). That is, in the equation 4x - y = -16, you replace the "x" with "6 - (5/3)y" so that you no longer have any x term.

Let's see how it works: 4(6 - (5/ ... more.

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