Systems of Linear Equations

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What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What does the solution of a system of linear equations represent?

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The point where the graphs of the equations intersect.

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CCSS.8.EE.C.8B

Front

What is the elimination method?

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A method for solving systems of linear equations by removing one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What is the substitution method?

Back

A method for solving systems of linear equations by substituting one equation into another.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What does 'no solution' mean in the context of linear equations?

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

Tags

CCSS.8.EE.C.8A

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What is the y-intercept in a linear equation?

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The point where the line crosses the y-axis.

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What is the slope of a line?

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The rate at which y changes for a change in x, often represented as 'm' in the equation y = mx + b.

Tags

CCSS.8.EE.B.5

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How do you graph a system of linear equations?

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By plotting each equation on the same coordinate plane and finding their intersection.

Tags

CCSS.8.EE.C.8B

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What is a linear equation?

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An equation that makes a straight line when graphed, typically in the form y = mx + b.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What does 'consistent' mean in relation to a system of equations?

Back

A system is consistent if it has at least one solution.

Tags

CCSS.8.EE.C.8B