To calculate: The solution set of system of equations,
Answer to Problem 18PPS
The solution set of the system of equations is
Explanation of Solution
Given information:
The system of equations is provided below,
Formula used:
A system of equations with three variables can be solved by elimination method and substitution method. Select any two pairs of equations from the system and eliminate the same variable by adding or subtracting and then simplify it.
Calculation:
Consider the provided system of equations as,
Recall that a system of equations with three variables can be solved by elimination method and substitution method. Select any two pairs of equations from the system and eliminate the same variable by adding or subtracting and then simplify it.
So, subtract first equation from the third equation to eliminate x .
Now, multiply
Add resulting equation and second equation as,
Simplify
Substitute
Now, substitute
To check whether the solution set is correct, substitute the values of x , y and z in third equation as,
Since, left-hand side is equal to right-hand side; the solution set is true for all the equations.
Thus, the solution set of the system of equations is
Chapter 3 Solutions
Algebra 2
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