Finite Math Examples

Solve the System of @WORD x=3y , x+3y=1
,
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 left side.
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Step 1.2.1
Add and .
Step 2
Divide each term in by and simplify.
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Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
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
Cancel the common factor of .
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Step 3.2.1.1
Factor out of .
Step 3.2.1.2
Cancel the common factor.
Step 3.2.1.3
Rewrite the expression.
Step 4
The solution to the system is the complete set of ordered pairs that are valid solutions.
Step 5
The result can be shown in multiple forms.
Point Form:
Equation Form:
Step 6