All No One Solutions

Front

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

Back

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

Front

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

Back

An equation has 'One Solution' when there is exactly one value for the variable that satisfies the equation. This is typically the case when the variable can be isolated to yield a specific number.

Front

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

Back

An equation has 'Infinite Solutions' when any value for the variable satisfies the equation. This usually happens when the equation simplifies to a true statement, such as 0 = 0.

Front

Solve the equation: 8z - 22 = 3(3z + 11) - z

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No Solution

Front

Solve the equation: 8m + 12 = 2(4m + 6)

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Infinite Solutions

Front

How many solutions does the equation have? 3x - 5 + 4x - 2 = 7x - 4 - 3

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Infinite Solutions

Front

How many solutions does the equation have? 3x - 7 = 2x - 7 - x

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One Solution

Front

Solve the equation: 2x + 1 = 2x - 1

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No Solution

Front

What is the first step in solving linear equations?

Back

The first step is to simplify both sides of the equation, if possible, by combining like terms.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and can be written in the form ax + b = c.