Question

WE HAVE a*b = (3a+2b)÷(3a-2b). IF p = 1/5 and q = 3, then find the value of 5p * (4q * 3q).​

Answer 1

5p * (4q * 3q) = - 3

Step-by-step explanation:

The given operation is '*', which is defined by

a * b = (3a + 2b)/(3a - 2b)

Now, 4q * 3q

= 4 (3) * 3 (3), since q = 3

= 12 * 9

= {3 (12) + 2 (9)}/{3 (12) - 2 (9)}

= (36 + 18)/(36 - 18)

= 54/18

= 3

Then, 5p * (4q * 3q)

= 5 (1/5) * 3, since p = 1/5

= 1 * 3

= {3 (1) + 2 (3)}/{3 (1) - 2 (3)}

= (3 + 6)/(3 - 6)

= 9/(- 3)

= - 3