Answer
See the explanation
Work Step by Step
Solving a system in three variables
- Our initial goal is to reduce the system of three equations to two equations in two variables.
The central idea is to take two different pairs of equations and eliminate the same variables from both pairs.
Step 1. Reduce the system to two equations in two variables.
Step 2. Solve the resulting system of two equations in two variables.
Step 3. Use the back-substitution in one of the equations in two variables to find the value of the second variable.
Step 4. Back substitute the values found for two variables into one of the original equations to find the value of the third variable.
Step 5. Check
