Solve each system of equations using the method of substitution or the method of elimination.
Answer to Problem 15RE
Explanation of Solution
Given information:
Solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent.
Calculation:
In order to solve equations containing three unknown variables, we have to eliminate one variable at a time using any two equations until an equation with a single variable remains.
Multiply both sides of the equation
Add the equations
Divide both sides of the equation
So, we get an equation containing two variables
We need another equation containing the variable
Add the equation
So, we get another equation containing the variable
In order to solve for
So, we get
For finding
In order to find
So, we get
Hence, the solution, in ordered triplet form, is
In order to check the solution, substitute
Check:
Hence, the solution checks.
Chapter 11 Solutions
Precalculus
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