Question

If a+b+c = 76 and a-b-c = 38 , then what are the values of a, b, c ?

Answer 1

on solving both equation,
2a = 114
a = 57

but how 2 find b and c value

Answer 2

put the value of a in both the equations....you will get two equations in two variables b and c ....u can solve them

Answer 3

i get
b+c=19
b+c=19
when i put a = 57 in both equations

Answer 4

when u put a=57 in second equation,you get b+c=-19

Answer 5

no, i get
-b-c=-19
that is
b+c=19

Answer 6

57-b-c=38
19=b+c
ya right .....i am so sorry

Answer 7

it's k

Answer 8

in that case there is infinitely many solutions

Answer 9

b and c can have any values

Answer 10

and a=57

Answer 11

they came zero, when i solve them by 2312 method

Answer 12

but that method of cross multiplication is not applicable here

Answer 13

You've got two equations and three unknowns — not enough information to determine unique solution.

Answer 14

so vat would be b and c value.

Answer 15

b and c are natural numbers, do we have to assume that ?

Answer 16

no

Answer 17

Surely infinite solutions then.

Answer 18

k

Answer 19

essentially you have two planes that intersect at a common line. your solution will be the equation of that line.

Answer 20

the line itself has an infinite number of points on it :)

Answer 21

when a=0:

b+c = 76
b-c = 38
---------
2b = 114; b=57 ; c=19

gives us a point (0,57,19)


when b=0:

a+c = 76
a-c = 38
---------
2a = 114; a=57 ; c=19

gives us a point (57,0,19)

define the vector between the points and attach it to one of them to define the line of intersection.


another method would be to cross the normals to define the vector and attach it to one of the points found.

Answer 22

errp, forgot to include the - on the b in the first parts :) might need to work that out better

Answer 23

hmmm..............then it would be 2b+2c = 114

Answer 24

b+c=57

Answer 25

it means the valus for b and c are infinite as @shubhamsrg has already said

Answer 26

For the values of b and c , there are infinite values,

if we put b=1, c = 18

b=2, c=17

and so on..