To find: the solution of the system
Answer to Problem 30RE
The solution of the system is
Given:
Explanation:
Let’s begin by labeling our four equations
Notice that Equation
Our new system, with the new Equation
Now, add Equation
Simplified, this is
This reduced to
Our new system, with the new Equation
Notice that Equation
Also rewrite Equation
Write the system as
To solve for the last two variables, combine Equation
Simplified, this is
This reduces to
Place this into Equation
The values of all three variables is
The ordered quadruplet is
Conclusion:
Thus, the solution of the system is
Explanation of Solution
Given:
Let’s begin by labeling our four equations
Notice that Equation
Our new system, with the new Equation
Now, add Equation
Simplified, this is
This reduced to
Our new system, with the new Equation
Notice that Equation
Also rewrite Equation
Write the system as
To solve for the last two variables, combine Equation
Simplified, this is
This reduces to
Place this into Equation
The values of all three variables is
The ordered quadruplet is
Conclusion:
Thus, the solution of the system is
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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