Finite Math Examples

Solve the Matrix Equation 4x-[[1,-5],[6,2]]=[[-2,11],[-4,-6]]
Step 1
Move all terms not containing a variable to the right side.
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Step 1.1
Add to both sides of the equation.
Step 2
Simplify the right side.
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Step 2.1
Add the corresponding elements.
Step 2.2
Simplify each element.
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Step 2.2.1
Add and .
Step 2.2.2
Subtract from .
Step 2.2.3
Add and .
Step 2.2.4
Add and .
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
Combine and .
Step 4.3.2
Move the negative in front of the fraction.
Step 4.3.3
Cancel the common factor of .
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Step 4.3.3.1
Factor out of .
Step 4.3.3.2
Factor out of .
Step 4.3.3.3
Cancel the common factor.
Step 4.3.3.4
Rewrite the expression.
Step 4.3.4
Combine and .
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
Cancel the common factor of .
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Step 4.3.6.1
Factor out of .
Step 4.3.6.2
Cancel the common factor.
Step 4.3.6.3
Rewrite the expression.