Pre-Algebra Examples

Write in Standard Form y=-11/6x-21/10
Step 1
The standard form of a linear equation is .
Step 2
Find the LCD of and .
Tap for more steps...
Step 2.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 2.2
Since contains both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .
Step 2.3
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
Step 2.4
has factors of and .
Step 2.5
has factors of and .
Step 2.6
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
Step 2.7
Multiply .
Tap for more steps...
Step 2.7.1
Multiply by .
Step 2.7.2
Multiply by .
Step 3
Multiply both sides by .
Step 4
Simplify the right side.
Tap for more steps...
Step 4.1
Simplify .
Tap for more steps...
Step 4.1.1
Simplify each term.
Tap for more steps...
Step 4.1.1.1
Combine and .
Step 4.1.1.2
Move to the left of .
Step 4.1.2
Simplify terms.
Tap for more steps...
Step 4.1.2.1
Apply the distributive property.
Step 4.1.2.2
Cancel the common factor of .
Tap for more steps...
Step 4.1.2.2.1
Move the leading negative in into the numerator.
Step 4.1.2.2.2
Factor out of .
Step 4.1.2.2.3
Cancel the common factor.
Step 4.1.2.2.4
Rewrite the expression.
Step 4.1.2.3
Multiply by .
Step 4.1.2.4
Cancel the common factor of .
Tap for more steps...
Step 4.1.2.4.1
Move the leading negative in into the numerator.
Step 4.1.2.4.2
Factor out of .
Step 4.1.2.4.3
Cancel the common factor.
Step 4.1.2.4.4
Rewrite the expression.
Step 4.1.2.5
Multiply by .
Step 5
Move all terms containing variables to the left side of the equation.
Tap for more steps...
Step 5.1
Add to both sides of the equation.
Step 5.2
Reorder and .
Step 6