Finite Math Examples

Solve by Substitution 3y-2x=1 , 6y=4x+2
,
Step 1
Divide each term in by and simplify.
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Step 1.1
Divide each term in by .
Step 1.2
Simplify the left side.
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Step 1.2.1
Cancel the common factor of .
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Step 1.2.1.1
Cancel the common factor.
Step 1.2.1.2
Divide by .
Step 1.3
Simplify the right side.
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Step 1.3.1
Simplify each term.
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Step 1.3.1.1
Cancel the common factor of and .
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Step 1.3.1.1.1
Factor out of .
Step 1.3.1.1.2
Cancel the common factors.
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Step 1.3.1.1.2.1
Factor out of .
Step 1.3.1.1.2.2
Cancel the common factor.
Step 1.3.1.1.2.3
Rewrite the expression.
Step 1.3.1.2
Cancel the common factor of and .
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Step 1.3.1.2.1
Factor out of .
Step 1.3.1.2.2
Cancel the common factors.
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Step 1.3.1.2.2.1
Factor out of .
Step 1.3.1.2.2.2
Cancel the common factor.
Step 1.3.1.2.2.3
Rewrite the expression.
Step 2
Replace all occurrences of with in each equation.
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Step 2.1
Replace all occurrences of in with .
Step 2.2
Simplify the left side.
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Step 2.2.1
Simplify .
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Step 2.2.1.1
Simplify each term.
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Step 2.2.1.1.1
Apply the distributive property.
Step 2.2.1.1.2
Cancel the common factor of .
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Step 2.2.1.1.2.1
Cancel the common factor.
Step 2.2.1.1.2.2
Rewrite the expression.
Step 2.2.1.1.3
Cancel the common factor of .
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Step 2.2.1.1.3.1
Cancel the common factor.
Step 2.2.1.1.3.2
Rewrite the expression.
Step 2.2.1.2
Combine the opposite terms in .
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Step 2.2.1.2.1
Subtract from .
Step 2.2.1.2.2
Add and .
Step 3
Remove any equations from the system that are always true.
Step 4