Question
Download Solution PDFThe solution of the system of equations 3x + 2y - 6z = 1, 2x - 3y + 3z = -1, x - 4y + z = -6 is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The system of equations 3x + 2y - 6z = 1, 2x - 3y + 3z = -1, x - 4y + z = -6
Concept:
Use concept of elimination of variables.
Calculation:
The system of equations
3x + 2y - 6z = 1
2x - 3y + 3z = -1
x - 4y + z = -6
Isolate x for 3x + 2y - 6z = 1 :
Now substitute in other equations
After simplification
Now, isolate y for
Now substitute in other equation
⇒ z = 1
For
substitute z = 1
For
substitute z = 1, y = 2
The solution to the system of equations are:
x = 1, y = 2, z = 1
Hence the option (4) is correct.
Last updated on May 26, 2025
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