# Solving systems of equations by substitution

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## The substitution method for solving linear systems Solving Systems of Equations... Substitution Method (NancyPi)

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A way to solve a linear system algebraically is to use the substitution method. The substitution method functions by substituting the one y -value with the other. We're going to explain this by using an example. You can use the substitution method even if both equations of the linear system are in standard form. Just begin by solving one of the equations for one of its variables.

The substitution method is most useful for systems of 2 equations in 2 unknowns. The main idea here is that we solve one of the equations for one of the unknowns, and then substitute the result into the other equation. We will solve second equation for y. Note: It does not matter which equation we choose first and which second. Just choose the most convenient one first! Since the coefficient of y in equation 2 is -1, it is easiest to solve for y in equation 2.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Algebra I Systems of equations Solving systems of equations with substitution. Systems of equations with substitution: potato chips. Practice: Systems of equations with substitution. Substitution method review systems of equations. Next lesson.

There are three ways to solve systems of linear equations: substitution, elimination, and graphing. Take the expression you got for the variable in step 1, and plug it substitute it using parentheses into the other equation. Use the result from step 3 and plug it into the equation from step 1. I create online courses to help you rock your math class. Read more.

## How Do You Solve a System of Equations Using the Substitution Method?

Given two equations of a line, we want to find if they intersect at a single point. If they do, we say that it has a unique solution which can be described as a point in the coordinate axis. - Solving a linear system in two variables by graphing works well when the solution consists of integer values, but if our solution contains decimals or fractions, it is not the most precise method.

## Solving Systems of Equations Using Algebra Calculator

Index of lessons Print this page print-friendly version Find local tutors. Solving Systems by Substitution. The method of solving "by substitution" works by solving one of the equations you choose which one for one of the variables you choose which one , and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable. Here is how it works. .

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## 3 thoughts on “Solving systems of equations by substitution”

1. Cerys T. on said:

A Diagram Showing Two Lines Intersecting at a Point

2. Wingbecenal1965 on said:

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3. Sienna H. on said:

Walk through examples of solving systems of equations with substitution.