To calculate: The solution set of system of equations,
Answer to Problem 11PPS
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, multiply the third equation by
Now add the resulting equation and the second equation as,
Now, multiply first equation by
Add resulting equation and the third equation as,
Multiply
Add both the equations and solve to find the value of s ,
Simplify
Substitute
Now, substitute
To check whether the solution set is correct, substitute the values of r , s and t in first 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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