Finite Math Examples

Determine if Linear 3x+5y^5=-14
Step 1
Solve the equation for .
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Step 1.1
Subtract from both sides of the equation.
Step 1.2
Divide each term in by and simplify.
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Step 1.2.1
Divide each term in by .
Step 1.2.2
Simplify the left side.
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Step 1.2.2.1
Cancel the common factor of .
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Step 1.2.2.1.1
Cancel the common factor.
Step 1.2.2.1.2
Divide by .
Step 1.2.3
Simplify the right side.
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Step 1.2.3.1
Simplify each term.
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Step 1.2.3.1.1
Move the negative in front of the fraction.
Step 1.2.3.1.2
Move the negative in front of the fraction.
Step 1.3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 1.4
Simplify .
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Step 1.4.1
Factor out of .
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Step 1.4.1.1
Reorder and .
Step 1.4.1.2
Factor out of .
Step 1.4.1.3
Factor out of .
Step 1.4.1.4
Factor out of .
Step 1.4.2
Combine the numerators over the common denominator.
Step 1.4.3
Rewrite as .
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Step 1.4.3.1
Rewrite as .
Step 1.4.3.2
Rewrite as .
Step 1.4.4
Pull terms out from under the radical.
Step 1.4.5
Raise to the power of .
Step 1.4.6
Rewrite as .
Step 1.4.7
Multiply by .
Step 1.4.8
Combine and simplify the denominator.
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Step 1.4.8.1
Multiply by .
Step 1.4.8.2
Raise to the power of .
Step 1.4.8.3
Use the power rule to combine exponents.
Step 1.4.8.4
Add and .
Step 1.4.8.5
Rewrite as .
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Step 1.4.8.5.1
Use to rewrite as .
Step 1.4.8.5.2
Apply the power rule and multiply exponents, .
Step 1.4.8.5.3
Combine and .
Step 1.4.8.5.4
Cancel the common factor of .
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Step 1.4.8.5.4.1
Cancel the common factor.
Step 1.4.8.5.4.2
Rewrite the expression.
Step 1.4.8.5.5
Evaluate the exponent.
Step 1.4.9
Simplify the numerator.
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Step 1.4.9.1
Rewrite as .
Step 1.4.9.2
Raise to the power of .
Step 1.4.10
Simplify with factoring out.
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Step 1.4.10.1
Combine using the product rule for radicals.
Step 1.4.10.2
Reorder factors in .
Step 2
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be or for each of its variables. In this case, the degree of variable is , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
Not Linear