Finite Math Examples

Solve by Substitution x*1=0.0412(2000000-x*2-x*3-x*4) , x*2=0.0328(2000000-x*1-x*3-x*4) , x*3=0.0285(2000000-x*1-x*2-x*4) , x*4=0.0232(2000000-x*1-x*2-x*3)
, , ,
Step 1
Solve for in .
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Step 1.1
Simplify .
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Step 1.1.1
Apply the distributive property.
Step 1.1.2
Multiply.
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Step 1.1.2.1
Multiply by .
Step 1.1.2.2
Multiply by .
Step 1.2
Move all terms containing to the left side of the equation.
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Step 1.2.1
Add to both sides of the equation.
Step 1.2.2
Add and .
Step 1.3
Divide each term in by and simplify.
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Step 1.3.1
Divide each term in by .
Step 1.3.2
Simplify the left side.
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Step 1.3.2.1
Cancel the common factor of .
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Step 1.3.2.1.1
Cancel the common factor.
Step 1.3.2.1.2
Divide by .
Step 1.3.3
Simplify the right side.
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Step 1.3.3.1
Divide by .
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 .
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Step 2.2.1
Simplify the left side.
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Step 2.2.1.1
Multiply by .
Step 2.2.2
Simplify the right side.
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Step 2.2.2.1
Simplify .
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Step 2.2.2.1.1
Multiply by .
Step 2.2.2.1.2
Subtract from .
Step 2.2.2.1.3
Multiply by .
Step 2.3
Replace all occurrences of in with .
Step 2.4
Simplify .
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Step 2.4.1
Simplify the left side.
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Step 2.4.1.1
Multiply by .
Step 2.4.2
Simplify the right side.
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Step 2.4.2.1
Simplify .
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Step 2.4.2.1.1
Multiply by .
Step 2.4.2.1.2
Subtract from .
Step 2.4.2.1.3
Multiply by .
Step 2.5
Replace all occurrences of in with .
Step 2.6
Simplify .
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Step 2.6.1
Simplify the left side.
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Step 2.6.1.1
Multiply by .
Step 2.6.2
Simplify the right side.
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Step 2.6.2.1
Simplify .
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Step 2.6.2.1.1
Multiply by .
Step 2.6.2.1.2
Subtract from .
Step 2.6.2.1.3
Multiply by .
Step 3
Since is not true, there is no solution.
No solution
Step 4