Finite Math Examples

Solve by Substitution 1/2x+1/2y=1 , x-y=8
,
Step 1
Add to both sides of the equation.
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
Factor out of .
Step 2.2.1.1.2.2
Cancel the common factor.
Step 2.2.1.1.2.3
Rewrite the expression.
Step 2.2.1.1.3
Combine and .
Step 2.2.1.1.4
Combine and .
Step 2.2.1.2
Simplify terms.
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Step 2.2.1.2.1
Combine the numerators over the common denominator.
Step 2.2.1.2.2
Add and .
Step 2.2.1.2.3
Cancel the common factor of .
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Step 2.2.1.2.3.1
Cancel the common factor.
Step 2.2.1.2.3.2
Divide by .
Step 3
Move all terms not containing to the right side of the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
Subtract from .
Step 4
Replace all occurrences of with in each equation.
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Step 4.1
Replace all occurrences of in with .
Step 4.2
Simplify .
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Step 4.2.1
Simplify the left side.
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Step 4.2.1.1
Remove parentheses.
Step 4.2.2
Simplify the right side.
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Step 4.2.2.1
Subtract from .
Step 5
The solution to the system is the complete set of ordered pairs that are valid solutions.
Step 6
The result can be shown in multiple forms.
Point Form:
Equation Form:
Step 7