Finite Math Examples

Solve in Terms of the Arbitrary Variable z z=0.20x+0.75y , z=2.50x+0.25y
,
Step 1
Solve the equation for .
Tap for more steps...
Step 1.1
Rewrite the equation as .
Step 1.2
Subtract from both sides of the equation.
Step 1.3
Divide each term in by and simplify.
Tap for more steps...
Step 1.3.1
Divide each term in by .
Step 1.3.2
Simplify the left side.
Tap for more steps...
Step 1.3.2.1
Cancel the common factor of .
Tap for more steps...
Step 1.3.2.1.1
Cancel the common factor.
Step 1.3.2.1.2
Divide by .
Step 1.3.3
Simplify the right side.
Tap for more steps...
Step 1.3.3.1
Simplify each term.
Tap for more steps...
Step 1.3.3.1.1
Multiply by .
Step 1.3.3.1.2
Factor out of .
Step 1.3.3.1.3
Separate fractions.
Step 1.3.3.1.4
Divide by .
Step 1.3.3.1.5
Divide by .
Step 1.3.3.1.6
Move the negative in front of the fraction.
Step 1.3.3.1.7
Factor out of .
Step 1.3.3.1.8
Factor out of .
Step 1.3.3.1.9
Separate fractions.
Step 1.3.3.1.10
Divide by .
Step 1.3.3.1.11
Divide by .
Step 1.3.3.1.12
Multiply by .
Step 2
Solve the equation for .
Tap for more steps...
Step 2.1
Rewrite the equation as .
Step 2.2
Simplify .
Tap for more steps...
Step 2.2.1
Simplify each term.
Tap for more steps...
Step 2.2.1.1
Apply the distributive property.
Step 2.2.1.2
Multiply by .
Step 2.2.1.3
Multiply by .
Step 2.2.2
Add and .
Step 2.3
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 2.3.1
Subtract from both sides of the equation.
Step 2.3.2
Subtract from .
Step 2.4
Divide each term in by and simplify.
Tap for more steps...
Step 2.4.1
Divide each term in by .
Step 2.4.2
Simplify the left side.
Tap for more steps...
Step 2.4.2.1
Cancel the common factor of .
Tap for more steps...
Step 2.4.2.1.1
Cancel the common factor.
Step 2.4.2.1.2
Divide by .
Step 2.4.3
Simplify the right side.
Tap for more steps...
Step 2.4.3.1
Dividing two negative values results in a positive value.
Step 2.4.3.2
Factor out of .
Step 2.4.3.3
Factor out of .
Step 2.4.3.4
Separate fractions.
Step 2.4.3.5
Divide by .
Step 2.4.3.6
Divide by .
Step 3
Simplify the right side.
Tap for more steps...
Step 3.1
Simplify .
Tap for more steps...
Step 3.1.1
Multiply by .
Step 3.1.2
Subtract from .