Examples

Solve by Addition/Elimination
,
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
Divide each term in by and simplify.
Tap for more steps...
Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
Tap for more steps...
Step 4.2.1
Cancel the common factor of .
Tap for more steps...
Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
Tap for more steps...
Step 4.3.1
Cancel the common factor of and .
Tap for more steps...
Step 4.3.1.1
Factor out of .
Step 4.3.1.2
Cancel the common factors.
Tap for more steps...
Step 4.3.1.2.1
Factor out of .
Step 4.3.1.2.2
Cancel the common factor.
Step 4.3.1.2.3
Rewrite the expression.
Step 5
Substitute the value found for into one of the original equations, then solve for .
Tap for more steps...
Step 5.1
Substitute the value found for into one of the original equations to solve for .
Step 5.2
Simplify each term.
Tap for more steps...
Step 5.2.1
Multiply .
Tap for more steps...
Step 5.2.1.1
Combine and .
Step 5.2.1.2
Multiply by .
Step 5.2.2
Move the negative in front of the fraction.
Step 5.3
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 5.3.1
Add to both sides of the equation.
Step 5.3.2
To write as a fraction with a common denominator, multiply by .
Step 5.3.3
Combine and .
Step 5.3.4
Combine the numerators over the common denominator.
Step 5.3.5
Simplify the numerator.
Tap for more steps...
Step 5.3.5.1
Multiply by .
Step 5.3.5.2
Add and .
Step 5.3.6
Move the negative in front of the fraction.
Step 5.4
Divide each term in by and simplify.
Tap for more steps...
Step 5.4.1
Divide each term in by .
Step 5.4.2
Simplify the left side.
Tap for more steps...
Step 5.4.2.1
Cancel the common factor of .
Tap for more steps...
Step 5.4.2.1.1
Cancel the common factor.
Step 5.4.2.1.2
Divide by .
Step 5.4.3
Simplify the right side.
Tap for more steps...
Step 5.4.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 5.4.3.2
Cancel the common factor of .
Tap for more steps...
Step 5.4.3.2.1
Move the leading negative in into the numerator.
Step 5.4.3.2.2
Factor out of .
Step 5.4.3.2.3
Factor out of .
Step 5.4.3.2.4
Cancel the common factor.
Step 5.4.3.2.5
Rewrite the expression.
Step 5.4.3.3
Multiply by .
Step 5.4.3.4
Multiply by .
Step 5.4.3.5
Dividing two negative values results in a positive value.
Step 6
The solution to the independent system of equations can be represented as a point.
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.