Finite Math Examples

Solve by Substitution 7/2x+3/2y=0 , 1/3x-20/7y=4
,
Step 1
Solve for in .
Tap for more steps...
Step 1.1
Simplify each term.
Tap for more steps...
Step 1.1.1
Combine and .
Step 1.1.2
Combine and .
Step 1.2
Subtract from both sides of the equation.
Step 1.3
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Step 1.4
Divide each term in by and simplify.
Tap for more steps...
Step 1.4.1
Divide each term in by .
Step 1.4.2
Simplify the left side.
Tap for more steps...
Step 1.4.2.1
Cancel the common factor of .
Tap for more steps...
Step 1.4.2.1.1
Cancel the common factor.
Step 1.4.2.1.2
Divide by .
Step 1.4.3
Simplify the right side.
Tap for more steps...
Step 1.4.3.1
Move the negative in front of the fraction.
Step 2
Replace all occurrences of with in each equation.
Tap for more steps...
Step 2.1
Replace all occurrences of in with .
Step 2.2
Simplify the left side.
Tap for more steps...
Step 2.2.1
Simplify .
Tap for more steps...
Step 2.2.1.1
Simplify each term.
Tap for more steps...
Step 2.2.1.1.1
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.1.1.1
Move the leading negative in into the numerator.
Step 2.2.1.1.1.2
Factor out of .
Step 2.2.1.1.1.3
Cancel the common factor.
Step 2.2.1.1.1.4
Rewrite the expression.
Step 2.2.1.1.2
Move the negative in front of the fraction.
Step 2.2.1.1.3
Combine and .
Step 2.2.1.1.4
Move to the left of .
Step 2.2.1.2
Simplify terms.
Tap for more steps...
Step 2.2.1.2.1
Combine the numerators over the common denominator.
Step 2.2.1.2.2
Subtract from .
Step 2.2.1.2.3
Cancel the common factor of and .
Tap for more steps...
Step 2.2.1.2.3.1
Factor out of .
Step 2.2.1.2.3.2
Cancel the common factors.
Tap for more steps...
Step 2.2.1.2.3.2.1
Factor out of .
Step 2.2.1.2.3.2.2
Cancel the common factor.
Step 2.2.1.2.3.2.3
Rewrite the expression.
Step 2.2.1.2.3.2.4
Divide by .
Step 3
Divide each term in by and simplify.
Tap for more steps...
Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
Tap for more steps...
Step 3.2.1
Cancel the common factor of .
Tap for more steps...
Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Divide by .
Step 3.3
Simplify the right side.
Tap for more steps...
Step 3.3.1
Move the negative in front of the fraction.
Step 4
Replace all occurrences of with in each equation.
Tap for more steps...
Step 4.1
Replace all occurrences of in with .
Step 4.2
Simplify the right side.
Tap for more steps...
Step 4.2.1
Simplify .
Tap for more steps...
Step 4.2.1.1
Simplify the numerator.
Tap for more steps...
Step 4.2.1.1.1
Multiply by .
Step 4.2.1.1.2
Combine and .
Step 4.2.1.2
Simplify the expression.
Tap for more steps...
Step 4.2.1.2.1
Multiply by .
Step 4.2.1.2.2
Divide by .
Step 4.2.1.2.3
Move the negative in front of the fraction.
Step 4.2.1.3
Multiply .
Tap for more steps...
Step 4.2.1.3.1
Multiply by .
Step 4.2.1.3.2
Multiply by .
Step 5
The solution to the system is the complete set of ordered pairs that are valid solutions.
Step 6
The result can be shown in multiple forms.
Point Form:
Equation Form:
Step 7