Linear Algebra Examples

Solve by Substitution 4x-10y=18 , -2x+5y=-9
,
Step 1
Solve for in .
Tap for more steps...
Step 1.1
Add to both sides of the equation.
Step 1.2
Divide each term in by and simplify.
Tap for more steps...
Step 1.2.1
Divide each term in by .
Step 1.2.2
Simplify the left side.
Tap for more steps...
Step 1.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 1.2.2.1.1
Cancel the common factor.
Step 1.2.2.1.2
Divide by .
Step 1.2.3
Simplify the right side.
Tap for more steps...
Step 1.2.3.1
Simplify each term.
Tap for more steps...
Step 1.2.3.1.1
Cancel the common factor of and .
Tap for more steps...
Step 1.2.3.1.1.1
Factor out of .
Step 1.2.3.1.1.2
Cancel the common factors.
Tap for more steps...
Step 1.2.3.1.1.2.1
Factor out of .
Step 1.2.3.1.1.2.2
Cancel the common factor.
Step 1.2.3.1.1.2.3
Rewrite the expression.
Step 1.2.3.1.2
Cancel the common factor of and .
Tap for more steps...
Step 1.2.3.1.2.1
Factor out of .
Step 1.2.3.1.2.2
Cancel the common factors.
Tap for more steps...
Step 1.2.3.1.2.2.1
Factor out of .
Step 1.2.3.1.2.2.2
Cancel the common factor.
Step 1.2.3.1.2.2.3
Rewrite the expression.
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
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.1.2.1
Factor out of .
Step 2.2.1.1.2.2
Cancel the common factor.
Step 2.2.1.1.2.3
Rewrite the expression.
Step 2.2.1.1.3
Multiply by .
Step 2.2.1.1.4
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.1.4.1
Factor out of .
Step 2.2.1.1.4.2
Cancel the common factor.
Step 2.2.1.1.4.3
Rewrite the expression.
Step 2.2.1.1.5
Multiply by .
Step 2.2.1.2
Combine the opposite terms in .
Tap for more steps...
Step 2.2.1.2.1
Add and .
Step 2.2.1.2.2
Add and .
Step 3
Remove any equations from the system that are always true.
Step 4