Solving system of equations with 3 variables

There are three ways to solve a system of equations with 3 variables. One is substitution, which is solving one of the equations for a variable, and then plugging that into

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Solving Systems of Equations with Three Variables

Key Concepts A solution set is an ordered triple { (x,y,z)} that represents the intersection of three planes in space. See Example . A system of three equations in three

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Solving systems of equations in three variables

Cramer's Rule. Extract the coefficient, x, y and z matrices from the systems of equations. Find the determinant of each 3 x 3 matrix. Divide the determinant of the x, y and z matrices with the
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Solve Systems of Equations with Three Variables

Solve this system. And once again, we have three equations with three unknowns. So this is essentially trying to figure out where three different planes would intersect in three dimensions. And to do this, if we

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