Solving Systems of Equations with 3 Variables (Day 1) Steps: 1) Label equations 1, 2, 3 2) Take equations 1 and 2 and eliminate one variable. Star (*) your new equation 3) Take equations 1 and 3 and eliminate THE SAME VARIABLE as you did in step 2. Star ( ) your new equation. 4) Take your two new equations (* and )and eliminate one variable. Solve for the variable that remains. 5) Substitute your answer from step 4 into one of your new equations (* or to solve for the other variable. 6) Substitute your two answers from steps 4 and 5 into equations 1, 2, or 3 to find the last variable. Solve the following system of equations for all three variables. -2x + 3y – 4z = 8 5x - 3y + 5z = -8 7x - 3y+ 3z = 8
Solving Systems of Equations with 3 Variables (Day 1) Steps: 1) Label equations 1, 2, 3 2) Take equations 1 and 2 and eliminate one variable. Star (*) your new equation 3) Take equations 1 and 3 and eliminate THE SAME VARIABLE as you did in step 2. Star ( ) your new equation. 4) Take your two new equations (* and )and eliminate one variable. Solve for the variable that remains. 5) Substitute your answer from step 4 into one of your new equations (* or to solve for the other variable. 6) Substitute your two answers from steps 4 and 5 into equations 1, 2, or 3 to find the last variable. Solve the following system of equations for all three variables. -2x + 3y – 4z = 8 5x - 3y + 5z = -8 7x - 3y+ 3z = 8
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Solving Systems of Equations with 3 Variables (Day 1)
Steps:
1) Label equations 1, 2, 3
2) Take equations 1 and 2 and eliminate one variable. Star (*) your new equation
3) Take equations 1 and 3 and eliminate THE SAME VARIABLE as you did in step 2. Star (
)your
new equation.
4) Take your two new equations (* and
)and eliminate one variable. Solve for the variable that
remains.
5) Substitute your answer from step 4 into one of your new equations (* or
to solve for the
other variable.
6) Substitute your two answers from steps 4 and 5 into equations 1, 2, or 3 to find the last variable.
Solve the following system of equations for all three variables.
–2x + 3y – 4z = 8
5x
3y + 5z = –8
7x – 3y + 3z = 8
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