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A system of equations is two or more equations that share at least one variable. Once you have determined your equations, solve for one of the variables and substitute in that solution to the other equation.

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Q: Translate this word problem as a system of equations and then solve using substitution?
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To solve a three variable system of equations you can use a combination of the elimination and substitution methods?

True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.


Use the substitution method to solve the system of equations Enter your answer as an ordered pair?

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Can substitution in math be used to find the exact solution of a system of equations?

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Isolating a variable in one of the equations.


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The first step is to solve one of the equations for one of the variables. This is then substituted into the other equation or equations.


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You use substitution when you can solve for one variable in terms of the others. By substituting, you remove one variable from the equation, which can then be solved. Once you solve for one variable, you can use substitution to find the other.


What is a system of linear equations that has no solution?

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There is no simple answer. Sometimes, the nature of one of the equations lends itself to the substitution method but at other times, elimination is better. If they are non-linear equations, and there is an easy substitution then that is the best approach. With linear equations, using the inverse matrix is the fastest method.


What is usually the first step in solving a system of nonlinear equations by substitution?

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