Finite Math Examples

Solve by Substitution a=3b-1 , b=2a+2
,
Step 1
Replace all occurrences of with in each equation.
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Step 1.1
Replace all occurrences of in with .
Step 1.2
Simplify the right side.
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Step 1.2.1
Simplify .
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Step 1.2.1.1
Simplify each term.
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Step 1.2.1.1.1
Apply the distributive property.
Step 1.2.1.1.2
Multiply by .
Step 1.2.1.1.3
Multiply by .
Step 1.2.1.2
Combine the opposite terms in .
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Step 1.2.1.2.1
Add and .
Step 1.2.1.2.2
Add and .
Step 2
Solve for in .
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Step 2.1
Move all terms containing to the left side of the equation.
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Step 2.1.1
Subtract from both sides of the equation.
Step 2.1.2
Subtract from .
Step 2.2
Divide each term in by and simplify.
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Step 2.2.1
Divide each term in by .
Step 2.2.2
Simplify the left side.
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Step 2.2.2.1
Cancel the common factor of .
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Step 2.2.2.1.1
Cancel the common factor.
Step 2.2.2.1.2
Divide by .
Step 2.2.3
Simplify the right side.
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Step 2.2.3.1
Divide by .
Step 3
Replace all occurrences of with in each equation.
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Step 3.1
Replace all occurrences of in with .
Step 3.2
Simplify the right side.
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Step 3.2.1
Simplify .
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Step 3.2.1.1
Multiply by .
Step 3.2.1.2
Subtract from .
Step 4
List all of the solutions.