Question

17 x (5+a) = 17 x b + 17 x 13

A = ?
B = ?

Answer 1

a=-85/4

b=53/4

Explanation:

17x(5+a)=17xb+221. (1)

85+17xa=17xb+221

85+(17xa)-(17xb)-221=0

17xa-17xb=-136

17x(a-b)=-136

a-b=-8

a=-8+b. (2)

Replace a=-8+b to (1):

17x5x(-8+b)=17xb+221

85x(-8+b)=17xb+221

-680+85xb=17xb+221

-680+85xb-17xb-221=0

-68xb-901=0

-68xb=901

b=-53/4

Replace b=-53/4 to (2):

a= -8+(-53/4)= -85/4