Pre-Algebra Examples

Find Three Ordered Pair Solutions 2x+5y=10
Step 1
Solve the equation for .
Tap for more steps...
Step 1.1
Subtract from both sides of the equation.
Step 1.2
Divide each term in by and simplify.
Tap for more steps...
Step 1.2.1
Divide each term in by .
Step 1.2.2
Simplify the left side.
Tap for more steps...
Step 1.2.2.1
Cancel the common factor of .
Tap for more steps...
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.
Tap for more steps...
Step 1.2.3.1
Simplify each term.
Tap for more steps...
Step 1.2.3.1.1
Divide by .
Step 1.2.3.1.2
Move the negative in front of the fraction.
Step 2
Choose any value for that is in the domain to plug into the equation.
Step 3
Choose to substitute in for to find the ordered pair.
Tap for more steps...
Step 3.1
Remove parentheses.
Step 3.2
Simplify .
Tap for more steps...
Step 3.2.1
Simplify each term.
Tap for more steps...
Step 3.2.1.1
Cancel the common factor of and .
Tap for more steps...
Step 3.2.1.1.1
Factor out of .
Step 3.2.1.1.2
Cancel the common factors.
Tap for more steps...
Step 3.2.1.1.2.1
Factor out of .
Step 3.2.1.1.2.2
Cancel the common factor.
Step 3.2.1.1.2.3
Rewrite the expression.
Step 3.2.1.1.2.4
Divide by .
Step 3.2.1.2
Multiply .
Tap for more steps...
Step 3.2.1.2.1
Multiply by .
Step 3.2.1.2.2
Multiply by .
Step 3.2.2
Add and .
Step 3.3
Use the and values to form the ordered pair.
Step 4
Choose to substitute in for to find the ordered pair.
Tap for more steps...
Step 4.1
Remove parentheses.
Step 4.2
Simplify .
Tap for more steps...
Step 4.2.1
Multiply by .
Step 4.2.2
To write as a fraction with a common denominator, multiply by .
Step 4.2.3
Combine and .
Step 4.2.4
Combine the numerators over the common denominator.
Step 4.2.5
Simplify the numerator.
Tap for more steps...
Step 4.2.5.1
Multiply by .
Step 4.2.5.2
Subtract from .
Step 4.3
Use the and values to form the ordered pair.
Step 5
Choose to substitute in for to find the ordered pair.
Tap for more steps...
Step 5.1
Remove parentheses.
Step 5.2
Simplify .
Tap for more steps...
Step 5.2.1
Multiply by .
Step 5.2.2
To write as a fraction with a common denominator, multiply by .
Step 5.2.3
Combine and .
Step 5.2.4
Combine the numerators over the common denominator.
Step 5.2.5
Simplify the numerator.
Tap for more steps...
Step 5.2.5.1
Multiply by .
Step 5.2.5.2
Subtract from .
Step 5.3
Use the and values to form the ordered pair.
Step 6
These are three possible solutions to the equation.
Step 7