Systems of 3 variable Equations

Made By Kevin Yang Brittany Powers Bridget Furlong

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

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 theEDIT submenu of the MATRX menu. Press ENTER select this option from theMATRX menu. At this point, your screen should look similar to the screen on the rightgiven above, with possibly different numbers showing up on your screen. The cursorshould be blinking over the first number on the MATRIX[A] line of the screen. Now, thenumber of rows of the augmented matrix, which is three, must be entered. While thecursor 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 thenumber of columns of the augmented matrix. ENTER. At this point, your screenshould look similar to the screen on the left given below with possibly different numbersshowing 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 surethat the augmented matrix has been entered correctly.

Press 2nd and MODE quit and go back to the home screen. Press MATRX to accessthe MATRX menu. Press to move over to MATH submenu. At this point, yourscreen 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 ontothe home screen.* Press. MATRX paste the matrix name A onto the home screen by rref(Press ) . Press ENTER.