Precalculus Examples

,
Step 1
Multiply each equation by the value that makes the coefficients of opposite.
Step 2
Simplify.
Tap for more steps...
Step 2.1
Simplify the left side.
Tap for more steps...
Step 2.1.1
Simplify .
Tap for more steps...
Step 2.1.1.1
Apply the distributive property.
Step 2.1.1.2
Multiply by .
Step 2.2
Simplify the right side.
Tap for more steps...
Step 2.2.1
Multiply by .
Step 3
Add the two equations together to eliminate from the system.
Step 4
Since , the equations intersect at an infinite number of points.
Infinite number of solutions
Step 5
Solve one of the equations for .
Tap for more steps...
Step 5.1
Add to both sides of the equation.
Step 5.2
Divide each term in by and simplify.
Tap for more steps...
Step 5.2.1
Divide each term in by .
Step 5.2.2
Simplify the left side.
Tap for more steps...
Step 5.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 5.2.2.1.1
Cancel the common factor.
Step 5.2.2.1.2
Divide by .
Step 5.2.3
Simplify the right side.
Tap for more steps...
Step 5.2.3.1
Simplify each term.
Tap for more steps...
Step 5.2.3.1.1
Divide by .
Step 5.2.3.1.2
Cancel the common factor of and .
Tap for more steps...
Step 5.2.3.1.2.1
Factor out of .
Step 5.2.3.1.2.2
Cancel the common factors.
Tap for more steps...
Step 5.2.3.1.2.2.1
Factor out of .
Step 5.2.3.1.2.2.2
Cancel the common factor.
Step 5.2.3.1.2.2.3
Rewrite the expression.
Step 5.2.3.1.3
Move the negative in front of the fraction.
Step 6
The solution is the set of ordered pairs that make true.
Step 7
The result can be shown in multiple forms.
Point Form:
Equation Form:
Step 8
Enter YOUR Problem
Mathway requires javascript and a modern browser.