What is the solution of this linear system

(14,8,10)

Step-by-step explanation:

Given 3 equation in three variables p,q,r as

p+q+r = 32: ...i

p-r = 4 ...ii

2p+q = 36... iii

Add i and ii to eliminate r.

We have 2p+q = 36

the same equation as iii.

Hence the equation is having infinite number of solutions.

the solutions would be of the form

(p, 36-2p,4+p)

Of all the options given, we find that

only (14,8,10) satisfy this.

(36-2p = 36-28 =8,

p-4 = 14-4=10 when p = 14)

Hence this is the solution

send it over

step-by-step explanation: