Systems of Equations - Substitution (No Manipulation)

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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 substitution mean in solving systems of equations?

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Substitution is a method where one equation is solved for one variable, and that expression is substituted into the other equation.

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The value of y is -3.

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The solution is (3, -3).

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What does it mean if a system of equations has no solution?

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It means the lines represented by the equations are parallel and never intersect.

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What does it mean if a system of equations has infinitely many solutions?

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It means the equations represent the same line, and every point on that line is a solution.

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To find x, substitute a value for y and solve for x.

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The solution is infinitely many solutions.

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The solution is no solution.

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Substitute y = 1 into the equation and solve for x.