Finite Math Examples

Solve by Substitution x-y+5z=13 , y-2z=-7 , y+8z=33
, ,
Step 1
Move all terms not containing to the right side of the equation.
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Step 1.1
Add to both sides of the equation.
Step 1.2
Subtract from both sides of the equation.
Step 2
Add to both sides of the equation.
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 .
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Step 3.2.1
Simplify the left side.
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Step 3.2.1.1
Remove parentheses.
Step 3.2.2
Simplify the right side.
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Step 3.2.2.1
Simplify .
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Step 3.2.2.1.1
Subtract from .
Step 3.2.2.1.2
Subtract from .
Step 3.3
Replace all occurrences of in with .
Step 3.4
Simplify the left side.
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Step 3.4.1
Add and .
Step 4
Solve for in .
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Step 4.1
Move all terms not containing to the right side of the equation.
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Step 4.1.1
Add to both sides of the equation.
Step 4.1.2
Add and .
Step 4.2
Divide each term in by and simplify.
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Step 4.2.1
Divide each term in by .
Step 4.2.2
Simplify the left side.
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Step 4.2.2.1
Cancel the common factor of .
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Step 4.2.2.1.1
Cancel the common factor.
Step 4.2.2.1.2
Divide by .
Step 4.2.3
Simplify the right side.
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Step 4.2.3.1
Divide by .
Step 5
Replace all occurrences of with in each equation.
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Step 5.1
Replace all occurrences of in with .
Step 5.2
Simplify the right side.
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Step 5.2.1
Simplify .
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Step 5.2.1.1
Multiply by .
Step 5.2.1.2
Subtract from .
Step 5.3
Replace all occurrences of in with .
Step 5.4
Simplify the right side.
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Step 5.4.1
Simplify .
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Step 5.4.1.1
Multiply by .
Step 5.4.1.2
Add and .
Step 6
The solution to the system is the complete set of ordered pairs that are valid solutions.
Step 7
The result can be shown in multiple forms.
Point Form:
Equation Form: