Finite Math Examples

Solve by Substitution -x+y=4 , 2x-y=-1
,
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
Multiply by .
Step 2.2.1.2
Subtract from .
Step 3
Move all terms not containing to the right side of the equation.
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Step 3.1
Add to both sides of the equation.
Step 3.2
Add and .
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
Add and .
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