Systems of 3 variable Equations Made By Kevin Yang Brittany Powers Bridget Furlong

Systems of equations that have three variables are systems of planes Systems of equations that have three variables are systems of planes. Since all three variables equations such as 2x + 3y + 4z = 6 Systems of equations that have three variables are systems of planes. Since all three variables equations such as 2x + 3y + 4z = 6

Example of how to solve a system of three variable equations using elimination. 4x + 2y – 2z = 10 2x + 8y + 4z = 32 30x + 12y – 4z = 24

x − y + z = 8 (1) 2x + 3y − z = −2 (2) 3x − 2y − 9z = 9 (3) Solve the following system of equations x − y + z = 8 (1) 2x + 3y − z = −2 (2) 3x − 2y − 9z = 9 (3)

The augmented matrix of this system is given as follows. The augmented matrix needs to be entered into the calculator by using the MATRX menu. From the home screen, presto access the MATRX menu. At this point, your screen should look like the screen on the left given below with possibly different numbers showing up by the names of matrices.

While the cursor is by the matrix name A, press  twice to move the cursor over to the EDIT submenu of the MATRX menu. Press ENTER select this option from the MATRX menu. At this point, your screen should look similar to the screen on the right given above, with possibly different numbers showing up on your screen. The cursor should be blinking over the first number on the MATRIX[A] line of the screen. Now, the number of rows of the augmented matrix, which is three, must be entered. While the cursor is blinking over the first number on the MATRIX[A] line of the screen, type in 3. Press ENTER move the cursor over the second number. Type in 4. This indicates the number of columns of the augmented matrix. ENTER. At this point, your screen should look similar to the screen on the left given below with possibly different numbers showing up for the entries of the matrix A.

Typing all the number into the calculator Scroll left or right by pressing  . to see the rest of the entries, and check to make sure that the augmented matrix has been entered correctly. Press 2nd and MODE quit and go back to the home screen. Press MATRX to access the MATRX menu. Press  to move over to MATH submenu. At this point, your screen should look like the screen on the left given below.

*Press ↓ ten times to move the cursor down by A ↓ rref *Press ENTER paste this function onto the home screen. * Press. MATRX paste the matrix name A onto the home screen by rref( Press ) . Press ENTER.