Engineering Mechanics - General Principles - Discussion

Discussion Forum : General Principles - General Questions (Q.No. 4)
4.
Solve the following equation for x, y, and z:

xy + z = –1   –x + y + z = –1   x + 2y – 2z = 5

x = 1,      y = 1,      z = –1
x = 5/3,      y = 7/6,      z = –1/2
x = –2/3,      y = –2/3,      z = –1
x = –1,      y = 1,      z = 1
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
14 comments Page 2 of 2.

Mohit said:   9 years ago
@Karthik. Your method is wrong for solving the problem because if you putting the values of option D then you also get equal equations.

@zikky90 said:   9 years ago
Using elimination method.

Step 1: Sum up eq (1) , (2) and (3). Leaves you with x+2y=3, therefore, x=3-2y.

Step 2: Put in value of x in step 1 into eq (3) , therefore z=-1.

Step 3: Put value of x in step 1 and z in step 2 into eq (2) , therefore y=1.

Step 4: Put in value of why into step 1, therefore x = 1.

Answer: x=1, y=1, z=-1.

Venkatesh said:   8 years ago
Solve by Cramer's rule (matrix method).

Manohar h s said:   6 years ago
I didn't understand this. Please, anyone, explain me.


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