Description
Explanation & Answer
x + 2y + 3z = 11,.......................1
3x + 8y + 5z = 27.........................2
- x + y + z = 2...............................3
now
Multiply eq 1 by 3 and subtracting 2 from 1, we get
3x + 6y + 9z = 33
3x + 8y + 5z = 27
- - - -
-------------------------
- 2y + 4z = 6
- y + 2z = 3
y - 2z = - 3 ................................4
Now multiply eq 3 by 3 and adding with eq 2, we get
3x + 8y + 5z = 27
- 3x + 3y + 3z = 2
-----------------------
11y + 8z = 29 .........................5
Now multiplying eq 4 by 4 and adding with eq 5, we get
4y - 8z = - 12
11y + 8z = 29
------------------
15y = 17
y = 15/17
For z, put y = 15/17 in eq 4, we get
15/17 - 2z = - 3
15/17 + 3 = 2z
2z = (15 + 51) /17
2z = 66/17
z = 33/17
Now for x, put y= 15/17 and z = 33/17 in eq 3, we get
- x + 15/17 + 33/17 = 2
x = 15/17 + 33/17 - 2
L.C.M is 17, then
x = (15 + 33 - 34)/17
x = 14/17
Hence the solution is
{x, y, z} = {14/17, 15/17, 33/17}
Review
Review
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!
Similar Content
Related Tags
The Power of Habit - Why We Do What We Do in Life and Business
by Charles Duhigg
Freakonomics
by Stephen J. Dubner and Steven D. Levitt
Extreme Ownership - How US Navy SEALs Lead and Win
by Jocko Willink and Leif Babin
The Silent Patient
by Alex Michaelides
Big Magic
by Elizabeth Gilbert
Fools Crow
by James Welch
Anthem
by Ayn Rand
Herzog
by Saul Bellow
How to Win at the Sport of Business
by Mark Cuban