Finite Math Examples

Solve the Matrix Equation [[x,-4],[4,y]]+[[-8,z],[-2,8]]=[[-6,-4],[2u,14]]
Step 1
Add the corresponding elements.
Step 2
Subtract from .
Step 3
Write as a linear system of equations.
Step 4
Solve the system of equations.
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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
Replace all occurrences of with in each equation.
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Step 4.2.1
Move all terms not containing to the right side of the equation.
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Step 4.2.1.1
Add to both sides of the equation.
Step 4.2.1.2
Add and .
Step 4.2.2
Rewrite the equation as .
Step 4.2.3
Divide each term in by and simplify.
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Step 4.2.3.1
Divide each term in by .
Step 4.2.3.2
Simplify the left side.
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Step 4.2.3.2.1
Cancel the common factor of .
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Step 4.2.3.2.1.1
Cancel the common factor.
Step 4.2.3.2.1.2
Divide by .
Step 4.2.3.3
Simplify the right side.
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Step 4.2.3.3.1
Divide by .
Step 4.2.4
Move all terms not containing to the right side of the equation.
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Step 4.2.4.1
Subtract from both sides of the equation.
Step 4.2.4.2
Subtract from .
Step 4.3
List all of the solutions.