Finite Math Examples

,
Solve for in the first equation.
Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.
Divide each term by and simplify.
Divide each term in by .
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Divide by to get .
Simplify each term.
Divide by to get .
Multiply by to get .
Replace all occurrences of with the solution found by solving the last equation for . In this case, the value substituted is .
Solve for in the second equation.
Simplify the left side.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by to get .
Combine the numerators over the common denominator.
Simplify each term.
Simplify the numerator.
Factor out of .
Multiply by to get .
Move to the left of the expression .
Multiply by to get .
Move all terms not containing to the right side of the equation.
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
Solve for .
Multiply both sides of the equation by .
Simplify the right side.
Multiply by to get .
Multiply by to get .
Divide each term by and simplify.
Divide each term in by .
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Divide by to get .
Divide by to get .
Replace all occurrences of with the solution found by solving the last equation for . In this case, the value substituted is .
Simplify the right side.
Simplify each term.
Divide by to get .
Multiply by to get .
Subtract from to get .
The solution to the system of equations can be represented as a point.

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