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Theme Output TypeExample: solving systems of equations by Gaussian elimination Welcome to the system of equations calculator, where we will learn how to solve a system of linear …You can use any variable as long as it is consistent with the second equation. Step 2: Enter the second equation in the second input box. Use the same variables from the first equation. Step 3: Click "Solve" to get the solution to the system of equations. Step 4: The solution along with the linear system entered will be displayed at the bottom. houses for rent in lakeland fl System of equations. Systems of equations are sets of equations where the solution is the intersecting point(s) between the equations. Most of the systems of equations you see in algebra are sets of two linear equations in the standard form Ax + By = C.. 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