Pre-Algebra Examples

Write in Standard Form (y-3)=-2/3*(x+4)
Step 1
The standard form of a linear equation is .
Step 2
Multiply both sides by .
Step 3
Simplify the left side.
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Step 3.1
Simplify .
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Step 3.1.1
Multiply by each element of the matrix.
Step 3.1.2
Simplify each element in the matrix.
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Step 3.1.2.1
Apply the distributive property.
Step 3.1.2.2
Multiply by .
Step 4
Simplify the right side.
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Step 4.1
Simplify .
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Step 4.1.1
Apply the distributive property.
Step 4.1.2
Combine and .
Step 4.1.3
Multiply .
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Step 4.1.3.1
Multiply by .
Step 4.1.3.2
Combine and .
Step 4.1.3.3
Multiply by .
Step 4.1.4
Simplify each term.
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Step 4.1.4.1
Move to the left of .
Step 4.1.4.2
Move the negative in front of the fraction.
Step 4.1.5
Simplify terms.
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Step 4.1.5.1
Apply the distributive property.
Step 4.1.5.2
Cancel the common factor of .
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Step 4.1.5.2.1
Move the leading negative in into the numerator.
Step 4.1.5.2.2
Cancel the common factor.
Step 4.1.5.2.3
Rewrite the expression.
Step 4.1.5.3
Cancel the common factor of .
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Step 4.1.5.3.1
Move the leading negative in into the numerator.
Step 4.1.5.3.2
Cancel the common factor.
Step 4.1.5.3.3
Rewrite the expression.
Step 5
Move all terms containing variables to the left side of the equation.
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Step 5.1
Add to both sides of the equation.
Step 5.2
Move .
Step 5.3
Reorder and .
Step 6
Move all terms not containing a variable to the right side of the equation.
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Step 6.1
Add to both sides of the equation.
Step 6.2
Add and .
Step 7