Linear Algebra Examples

Solve by Substitution x-y=3 , 2x-y=4
,
Step 1
Add to both sides of the equation.
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
Apply the distributive property.
Step 2.2.1.1.2
Multiply by .
Step 2.2.1.2
Subtract from .
Step 3
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 3.1
Subtract from both sides of the equation.
Step 3.2
Subtract from .
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 .
Tap for more steps...
Step 4.2.1
Simplify the left side.
Tap for more steps...
Step 4.2.1.1
Remove parentheses.
Step 4.2.2
Simplify the right side.
Tap for more steps...
Step 4.2.2.1
Subtract from .
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