Question

Prove that expression 3x+11y and 29x+23y are divisible by 125 for the same set of values of positive x and y. find atleast 2 such pairs of x and y.

It is an emergency so don't spam

Answer 1

Qᴜᴇꜱᴛɪᴏɴ⬇

How do you find the number of integral solutions of the equation 2x + 3y = 763?

ᴀɴꜱᴡᴇʀ⬇

2x + 3y = 763

=> y = (763 - 2x)/3

It has infinite integral solutions as there are infinite integral values of 'x' for which 'y' is an integer.

But the equation has finite number of positive integral solutions and I have solved for it.

Now, for 'y' to be an integer, (763-2x) must be a multiple of 3.

A little observation tells us that it happens when

763-2x=759,753,747,741,735,729......15,9 and 3.

=> x=2,5,8,11,14,17.........371,374,377,380

For each value of 'x', y can be calculated.

The values of 'x' forms an A.P.

so,

380 = 2 + (n-1)3

=>n=127.

ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ ᴜ.

ᴛʜᴀɴᴋʏᴏᴜ❤

@brainlyqueen23

Answer 2

Answer:

i hope my answers help you