Finite Math Examples

Solve Using a Matrix by Row Operations x*1+x*2+x*3+s*1=38 , -x*1+x*2-x*3+s*2=0 , x*3+s*3=2 , -200x*1-644x*2-266x*3+z=0
, , ,
Step 1
Move variables to the left and constant terms to the right.
Tap for more steps...
Step 1.1
Simplify each term.
Tap for more steps...
Step 1.1.1
Multiply by .
Step 1.1.2
Move to the left of .
Step 1.1.3
Move to the left of .
Step 1.1.4
Multiply by .
Step 1.2
Add and .
Step 1.3
Add and .
Step 1.4
Reorder and .
Step 1.5
Simplify each term.
Tap for more steps...
Step 1.5.1
Multiply by .
Step 1.5.2
Move to the left of .
Step 1.5.3
Multiply by .
Step 1.5.4
Move to the left of .
Step 1.6
Add and .
Step 1.7
Subtract from .
Step 1.8
Reorder and .
Step 1.9
Simplify each term.
Tap for more steps...
Step 1.9.1
Move to the left of .
Step 1.9.2
Move to the left of .
Step 1.10
Reorder and .
Step 1.11
Simplify each term.
Tap for more steps...
Step 1.11.1
Multiply by .
Step 1.11.2
Multiply by .
Step 1.11.3
Multiply by .
Step 1.12
Subtract from .
Step 1.13
Subtract from .
Step 2
Write the system as a matrix.
Step 3
Find the reduced row echelon form.
Tap for more steps...
Step 3.1
Perform the row operation to make the entry at a .
Tap for more steps...
Step 3.1.1
Perform the row operation to make the entry at a .
Step 3.1.2
Simplify .
Step 3.2
Perform the row operation to make the entry at a .
Tap for more steps...
Step 3.2.1
Perform the row operation to make the entry at a .
Step 3.2.2
Simplify .
Step 3.3
Multiply each element of by to make the entry at a .
Tap for more steps...
Step 3.3.1
Multiply each element of by to make the entry at a .
Step 3.3.2
Simplify .
Step 3.4
Perform the row operation to make the entry at a .
Tap for more steps...
Step 3.4.1
Perform the row operation to make the entry at a .
Step 3.4.2
Simplify .
Step 3.5
Perform the row operation to make the entry at a .
Tap for more steps...
Step 3.5.1
Perform the row operation to make the entry at a .
Step 3.5.2
Simplify .
Step 3.6
Swap with to put a nonzero entry at .
Step 3.7
Multiply each element of by to make the entry at a .
Tap for more steps...
Step 3.7.1
Multiply each element of by to make the entry at a .
Step 3.7.2
Simplify .
Step 3.8
Perform the row operation to make the entry at a .
Tap for more steps...
Step 3.8.1
Perform the row operation to make the entry at a .
Step 3.8.2
Simplify .
Step 3.9
Perform the row operation to make the entry at a .
Tap for more steps...
Step 3.9.1
Perform the row operation to make the entry at a .
Step 3.9.2
Simplify .
Step 3.10
Perform the row operation to make the entry at a .
Tap for more steps...
Step 3.10.1
Perform the row operation to make the entry at a .
Step 3.10.2
Simplify .
Step 3.11
Perform the row operation to make the entry at a .
Tap for more steps...
Step 3.11.1
Perform the row operation to make the entry at a .
Step 3.11.2
Simplify .
Step 4
Use the result matrix to declare the final solution to the system of equations.
Step 5
The system is inconsistent so there is no solution.