Linear Algebra Examples

Solve by Substitution 4x+11=-6y , 6x+9y=-3
,
Step 1
Solve for in .
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Step 1.1
Subtract from both sides of the equation.
Step 1.2
Divide each term in by and simplify.
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Step 1.2.1
Divide each term in by .
Step 1.2.2
Simplify the left side.
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Step 1.2.2.1
Cancel the common factor of .
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Step 1.2.2.1.1
Cancel the common factor.
Step 1.2.2.1.2
Divide by .
Step 1.2.3
Simplify the right side.
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Step 1.2.3.1
Simplify each term.
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Step 1.2.3.1.1
Cancel the common factor of and .
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Step 1.2.3.1.1.1
Factor out of .
Step 1.2.3.1.1.2
Cancel the common factors.
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Step 1.2.3.1.1.2.1
Factor out of .
Step 1.2.3.1.1.2.2
Cancel the common factor.
Step 1.2.3.1.1.2.3
Rewrite the expression.
Step 1.2.3.1.2
Move the negative in front of the fraction.
Step 1.2.3.1.3
Move the negative in front of the fraction.
Step 2
Replace all occurrences of with in each equation.
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Step 2.1
Replace all occurrences of in with .
Step 2.2
Simplify the left side.
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Step 2.2.1
Simplify .
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Step 2.2.1.1
Simplify each term.
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Step 2.2.1.1.1
Apply the distributive property.
Step 2.2.1.1.2
Cancel the common factor of .
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Step 2.2.1.1.2.1
Move the leading negative in into the numerator.
Step 2.2.1.1.2.2
Factor out of .
Step 2.2.1.1.2.3
Cancel the common factor.
Step 2.2.1.1.2.4
Rewrite the expression.
Step 2.2.1.1.3
Multiply by .
Step 2.2.1.1.4
Cancel the common factor of .
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Step 2.2.1.1.4.1
Move the leading negative in into the numerator.
Step 2.2.1.1.4.2
Factor out of .
Step 2.2.1.1.4.3
Factor out of .
Step 2.2.1.1.4.4
Cancel the common factor.
Step 2.2.1.1.4.5
Rewrite the expression.
Step 2.2.1.1.5
Combine and .
Step 2.2.1.1.6
Multiply by .
Step 2.2.1.1.7
Move the negative in front of the fraction.
Step 2.2.1.2
Combine the opposite terms in .
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Step 2.2.1.2.1
Add and .
Step 2.2.1.2.2
Subtract from .
Step 3
Since is not true, there is no solution.
No solution
Step 4