Finite Math Examples

Solve the Matrix Equation 2x+[[3,-8],[5,2],[-4,7]]=[[-3,4],[5,0],[2,7]]
Step 1
Move all terms not containing a variable to the right side.
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Step 1.1
Subtract from both sides of the equation.
Step 2
Simplify the right side.
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Step 2.1
Subtract the corresponding elements.
Step 2.2
Simplify each element.
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Step 2.2.1
Subtract from .
Step 2.2.2
Add and .
Step 2.2.3
Subtract from .
Step 2.2.4
Subtract from .
Step 2.2.5
Add and .
Step 2.2.6
Subtract from .
Step 3
Multiply both sides by .
Step 4
Simplify.
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Step 4.1
Cancel the common factor of .
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Step 4.1.1
Factor out of .
Step 4.1.2
Cancel the common factor.
Step 4.1.3
Rewrite the expression.
Step 4.2
Multiply by each element of the matrix.
Step 4.3
Simplify each element in the matrix.
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Step 4.3.1
Cancel the common factor of .
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Step 4.3.1.1
Factor out of .
Step 4.3.1.2
Cancel the common factor.
Step 4.3.1.3
Rewrite the expression.
Step 4.3.2
Cancel the common factor of .
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Step 4.3.2.1
Factor out of .
Step 4.3.2.2
Cancel the common factor.
Step 4.3.2.3
Rewrite the expression.
Step 4.3.3
Multiply by .
Step 4.3.4
Cancel the common factor of .
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Step 4.3.4.1
Factor out of .
Step 4.3.4.2
Cancel the common factor.
Step 4.3.4.3
Rewrite the expression.
Step 4.3.5
Cancel the common factor of .
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Step 4.3.5.1
Factor out of .
Step 4.3.5.2
Cancel the common factor.
Step 4.3.5.3
Rewrite the expression.
Step 4.3.6
Multiply by .