Algebra Examples

Step 1
The matrix equation can be written as a set of equations.
Step 2
Solve for in .
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Rewrite the equation as .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from both sides of the equation.
Step 3
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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Simplify each term.
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Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Multiply by .
Simplify by adding terms.
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Add and .
Add and .
Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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Simplify each term.
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Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Multiply by .
Simplify by adding terms.
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Add and .
Add and .
Step 4
Solve for in .
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Rewrite the equation as .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Add to both sides of the equation.
Add and .
Step 5
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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Simplify each term.
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Apply the distributive property.
Multiply by .
Multiply by .
Simplify by adding terms.
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Subtract from .
Subtract from .
Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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Simplify each term.
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Apply the distributive property.
Multiply by .
Multiply by .
Simplify by adding terms.
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Subtract from .
Add and .
Step 6
Solve for in .
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Rewrite the equation as .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify the right side.
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Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Step 7
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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Multiply .
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Combine and .
Multiply by .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Subtract from .
Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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Simplify each term.
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Multiply .
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Combine and .
Multiply by .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Add and .
Step 8
List all of the solutions.
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