Solve Systems by Substitution

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

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What does it mean to solve a system by substitution?

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Solving a system by substitution involves solving one equation for one variable and then substituting that expression into the other equation.

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What is the first step in solving a system by substitution?

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Make sure at least one equation is solved for one variable.

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What is the substitution method used for?

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The substitution method is used to find the values of variables that satisfy all equations in a system.

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What is the slope-intercept form of a linear equation?

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How do you check the solution of a system of equations?

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To check the solution, substitute the values of the variables back into the original equations to see if they hold true.

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