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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 on a graph.

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What does it mean for a system of equations to have no solution?

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A system of equations has no solution when the graphs of the equations are parallel and never intersect.

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How do you find the value of x in a system of equations?

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To find the value of x, you can use substitution or elimination methods to solve the equations simultaneously.

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What is the elimination method in solving systems of equations?

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The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

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What is the substitution method in solving systems of equations?

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The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

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What does it mean for a system of equations to have infinitely many solutions?

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A system of equations has infinitely many solutions when the equations represent the same line, meaning they intersect at every point on that line.

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What is the graphical representation of a system of equations?

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The graphical representation of a system of equations is the plot of the equations on a coordinate plane, where the intersection points represent the solutions.

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How can you determine the number of solutions in a system of equations by looking at their graphs?

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You can determine the number of solutions by observing the intersection points: no intersection means no solution, one intersection means one solution, and overlapping lines mean infinitely many solutions.

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The value of x is -2.

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The value of y is -14.