Question

If x and y both are non-negative integers, then find
total number of possible pairs of x and y for linear
equation 4x + 9y = 117

it's answer is 4 possible solutions.
please tell me the whole solution.....​

Answer 1

Answer:

its attached

Step-by-step explanation:

brainliest pplleeaasse

Answer 2

$4x+9y=117\\9y=4x-117\\y=13-\frac{4x}{9}$

So, as y is non-negative integer (given in the question) ,

x must be a multiple of 9 in order for y to be an integer

So, x = 0, 9, 18, 27.....

For only four values of x we get integral values of y which are 13, 9, 5, 1

Hence, we have only four solutions

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