Finite Math Examples

Solve by Substitution q=-11000p+3600 , q=4000p+600
,
Step 1
Eliminate the equal sides of each equation and combine.
Step 2
Solve for .
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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
Move all terms not containing to the right side of the equation.
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Step 2.2.1
Subtract from both sides of the equation.
Step 2.2.2
Subtract from .
Step 2.3
Divide each term in by and simplify.
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Step 2.3.1
Divide each term in by .
Step 2.3.2
Simplify the left side.
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Step 2.3.2.1
Cancel the common factor of .
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Step 2.3.2.1.1
Cancel the common factor.
Step 2.3.2.1.2
Divide by .
Step 2.3.3
Simplify the right side.
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Step 2.3.3.1
Cancel the common factor of and .
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Step 2.3.3.1.1
Factor out of .
Step 2.3.3.1.2
Cancel the common factors.
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Step 2.3.3.1.2.1
Factor out of .
Step 2.3.3.1.2.2
Cancel the common factor.
Step 2.3.3.1.2.3
Rewrite the expression.
Step 3
Evaluate when .
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Step 3.1
Substitute for .
Step 3.2
Simplify .
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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 3.2.2
Add and .
Step 4
The solution of the system of equations is all the values that make the system true.