Question

The solution of the system of equations 23m 0. 3 + 4.0
A r 0, y = 1.2-1
Cl
7 + 10y + 120 is
D..!
ОА
Ов
Ос
OD​

Answer 1

Answer:

ANSWER

Given x+y+z=0 , x,y,z≥−5

Let

⇒x+5=9

since x≥−5 x+5≥0→a≥0

Similarly,

⇒y+5=b ξ z+5=c→b≥0,c≥0

Substituting in original equation

⇒(a−5)+(b−5)+(c−5)=0

⇒a+b+c=15 , a,b,c≥0

Total possibilities is given by

n+r−1

C

r−1

Where n=15 , r=3

⇒

15+3−1

C

3−1

=

17

C

2

=136.

Hence, the answer is 136.