No Solution, One Solution, Infinite Solutions

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What does it mean when an equation has 'No Solution'?

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An equation has 'No Solution' when there are no values that can satisfy the equation. This often occurs when simplifying leads to a false statement, such as 0 = 5.

Tags

CCSS.8.EE.C.7A

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What does it mean when an equation has 'One Solution'?

Back

An equation has 'One Solution' when there is exactly one value that satisfies the equation. This is the most common case in linear equations.

Tags

CCSS.8.EE.C.7B

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What does it mean when an equation has 'Infinite Solutions'?

Back

An equation has 'Infinite Solutions' when any value can satisfy the equation. This occurs when both sides of the equation are equivalent after simplification.

Tags

CCSS.8.EE.C.7A

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Back

One Solution: m = 1.

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CCSS.8.EE.C.7B

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Back

No Solution.

Tags

CCSS.8.EE.C.7A

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Back

No Solution.

Tags

CCSS.8.EE.C.7A

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Back

Infinite Solutions.

Tags

CCSS.8.EE.C.7A

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Back

No Solution.

Tags

CCSS.8.EE.C.7A

Front

What is a linear equation?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What is the significance of the coefficients in a linear equation?

Back

Coefficients determine the slope and position of the line represented by the equation. They affect how steep the line is and where it intersects the axes.