Linear Algebra Examples

Solve the Matrix Equation [[7x],[12]]=[[28],[-6y]]
Step 1
Write as a linear system of equations.
Step 2
Solve the system of equations.
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Step 2.1
Divide each term in by and simplify.
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Step 2.1.1
Divide each term in by .
Step 2.1.2
Simplify the left side.
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Step 2.1.2.1
Cancel the common factor of .
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Step 2.1.2.1.1
Cancel the common factor.
Step 2.1.2.1.2
Divide by .
Step 2.1.3
Simplify the right side.
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Step 2.1.3.1
Divide by .
Step 2.2
Replace all occurrences of with in each equation.
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Step 2.2.1
Rewrite the equation as .
Step 2.2.2
Divide each term in by and simplify.
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Step 2.2.2.1
Divide each term in by .
Step 2.2.2.2
Simplify the left side.
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Step 2.2.2.2.1
Cancel the common factor of .
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Step 2.2.2.2.1.1
Cancel the common factor.
Step 2.2.2.2.1.2
Divide by .
Step 2.2.2.3
Simplify the right side.
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Step 2.2.2.3.1
Divide by .
Step 2.3
List all of the solutions.