The number of solutions of the equation 3p + 4q = 70, where p and q are positive integers and p q, is

Question

The number of solutions of the equation 3p + 4q = 70, where p and q are positive integers and p > q, is

lgbasallote · Answer

hmm...this is linear isnt it?

anonymous · Answer

yup

lgbasallote · Answer

do you mean the possible values of p and q?

anonymous · Answer

yaa

lgbasallote · Answer

i would love to say there are infinite solutions because there are no dmain restrictions but i cant be sure

zzr0ck3r · Answer

I think either none, infinite or 1.

anonymous · Answer

@igbasallote how did u do that... any explanation

lgbasallote · Answer

lol didnt i just explain it =))

anonymous · Answer

$$3p + 4q = 70$$

$$p = \frac{70 - 4q}{3}$$

Now put the values of q like 1, 2, 3 etc and find corresponding q values..
p and q values must be integer..

First one I do for you:

Put q = 1,

$$p = \frac{70-4}{3} = \frac{66}{3} = 22$$


So, one solution is :
$$(p, q) = (22, 1)$$

Likewise find others..

In total you will have three solutions..

zzr0ck3r · Answer

ahh nice work

anonymous · Answer

wow thanxx :)

anonymous · Answer

Welcome dear...

anonymous · Answer

two unknows and 1 equation..solution does make a sense here