Linear Algebra Examples

Solve by Substitution 2x+3y=6 , 4x+6y=24
,
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
Divide by .
Step 1.2.3.1.2
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
Multiply by .
Step 2.2.1.1.3
Cancel the common factor of .
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Step 2.2.1.1.3.1
Move the leading negative in into the numerator.
Step 2.2.1.1.3.2
Factor out of .
Step 2.2.1.1.3.3
Cancel the common factor.
Step 2.2.1.1.3.4
Rewrite the expression.
Step 2.2.1.1.4
Multiply by .
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
Add and .
Step 3
Since is not true, there is no solution.
No solution
Step 4