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Substitute the solution from step 4 into one of the original equations.
How to solve a math equation with 2 variables. If another linear equation in the same variables is given it is usually possible to find a. Add the equations resulting from step 2 to eliminate one variable. As you can see there are two variables x and y and there are exactly two equations. Solve for the remaining variable.
An example of a linear system with two variables that has a solution is. To determine the y value we may proceed by inserting our x value in any of the equations. Find the variable that cancels out. 2 x 4 3 x 2 4 2 3 x 2 x 2 x.
Y 2 2 4 8. Sometimes the equations will already cancel out a variable once you add them. We select the first equation. We substitute the y in the top equation with the expression for the second equation.
Using the elimination method 1. 2x 3y 7. Y 2 x 4. Then solve for the other variable.
A solution of such an. Multiply one equation so a variable will cancel out. We plug in x 2 and get. Combine the two equations.
4x 5y 8. Example with two variables. For example 3x 2y 8 is a linear equation in two variables. If the equations don t have a variable that cancels out.
Solving equations with two variables linear equation in two variables.
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