Algebra 6.2 HW Flashcard

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What is a system of equations?

Back

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 of equations by substitution?

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To solve by substitution, you solve one equation for one variable and then substitute that expression into the other equation.

Front

What is the graphical representation of a linear equation?

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A linear equation can be represented graphically as a straight line on a coordinate plane.

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

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A system has no solution if 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 infinite solutions?

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A system has infinite solutions if the equations represent the same line, meaning every point on the line is a solution.

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How do you determine the solution of a system of equations graphically?

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The solution is found at the point(s) where the lines intersect on the graph.

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What is the substitution method in solving equations?

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The substitution method involves isolating one variable in one equation and substituting that expression into the other equation.

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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.

Front

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

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Front

How do you find the x-intercept of a linear equation?

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