Pre-Algebra Examples

Solve the System of @WORD 4a-3y>6 , 3a+3y<-1
,
Step 1
Solve for .
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Step 1.1
Subtract from both sides of the inequality.
Step 1.2
Divide each term in by and simplify.
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Step 1.2.1
Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
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
Dividing two negative values results in a positive value.
Step 2
Solve for .
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Step 2.1
Subtract from both sides of the inequality.
Step 2.2
Divide each term in by and simplify.
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Step 2.2.1
Divide each term in by .
Step 2.2.2
Simplify the left side.
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Step 2.2.2.1
Cancel the common factor of .
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Step 2.2.2.1.1
Cancel the common factor.
Step 2.2.2.1.2
Divide by .
Step 2.2.3
Simplify the right side.
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Step 2.2.3.1
Simplify each term.
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Step 2.2.3.1.1
Move the negative in front of the fraction.
Step 2.2.3.1.2
Cancel the common factor of and .
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Step 2.2.3.1.2.1
Factor out of .
Step 2.2.3.1.2.2
Cancel the common factors.
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Step 2.2.3.1.2.2.1
Factor out of .
Step 2.2.3.1.2.2.2
Cancel the common factor.
Step 2.2.3.1.2.2.3
Rewrite the expression.
Step 2.2.3.1.2.2.4
Divide by .
Step 3
Find the intersection of and .
Step 4