Finite Math Examples

Solve Using an Augmented Matrix 4x*1-14x*2-2x*3=68 , x*1-4x*2=19
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Step 1
Move variables to the left and constant terms to the right.
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Step 1.1
Simplify each term.
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Step 1.1.1
Multiply by .
Step 1.1.2
Multiply by .
Step 1.1.3
Multiply by .
Step 1.2
Subtract from .
Step 1.3
Subtract from .
Step 1.4
Simplify each term.
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Step 1.4.1
Multiply by .
Step 1.4.2
Multiply by .
Step 1.5
Subtract from .
Step 2
Write the system as a matrix.
Step 3
Find the reduced row echelon form.
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Step 3.1
Multiply each element of by to make the entry at a .
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Step 3.1.1
Multiply each element of by to make the entry at a .
Step 3.1.2
Simplify .
Step 3.2
Perform the row operation to make the entry at a .
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Step 3.2.1
Perform the row operation to make the entry at a .
Step 3.2.2
Simplify .
Step 3.3
Multiply each element of by to make the entry at a .
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Step 3.3.1
Multiply each element of by to make the entry at a .
Step 3.3.2
Simplify .
Step 3.4
Perform the row operation to make the entry at a .
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Step 3.4.1
Perform the row operation to make the entry at a .
Step 3.4.2
Simplify .
Step 4
Use the result matrix to declare the final solution to the system of equations.
Step 5
The system is inconsistent so there is no solution.