Question 65601This question is from textbook An Incremental Development
: Solve
x + y + z = 11
2x + y - z = 13
x = 2y
This question is from textbook An Incremental Development
Answer by praseenakos@yahoo.com(507)   (Show Source):
You can put this solution on YOUR website! QUESTION:
Solve
x + y + z = 11
2x + y - z = 13
x = 2y
ANSWER:
x + y + z = 11 -----------------------(1)
2x + y - z = 13 -----------------------(2)
x = 2y -------------------------------(3)
Fron (2) we have, x = 2y.
Substitute this value in (1) and (2)
==>
2y + y + z = 11
3y + z = 11 ------------------------(4)
2(2y) + y - z = 13
4y + y - z = 13
==> 5y - Z = 13 -------------------------(5)
Let's take (4) and (5) together,
3y + z = 11 ------------------------(4)
5y - Z = 13 ------------------------(5)
_____________________________________________________________________________
Add (4) and (5) ====>
3y + z + 5y - Z = 11 + 13
==> 8y = 24
Divide both sides by 8,
==> 8y/8 = 24/8
==> y = 3
Substitute the value of y in equation (3) x = 2y
==> x = 2* 3
==> x = 6
Input the values of x and y in equation (1)
6 + 3 + z = 11
==> 9 + z = 11
Subtract 9 from both sides,
==> 9 + z - 9 = 11 - 9
==> z = 2
so the solution is,
x = 6
y = 3
z = 2
Hope you understood.
Regards.
praseenakos@yahoo.co.in
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