Question

Find the number of ordered pairs of integers (x,y) such that (7x+2y)(4x+y)=11 I'll surely mark as brainliest if the answer is correct

Answer 1

Step-by-step explanation:

To find the number of ordered pairs of integers (x, y) such that

Since x and y are integers

Therefore, and will also be integers

11 is a prime number which can be written as ,  ,   or  

Therefore, if we take

Then solving these two linear equations we get

x = -9, y = 37         (x and y are both integers)

If we take

Then solving these two linear equations we get

x = 9, y = -37         (x and y are both integers)

If we take

Then solving these two linear equations we get

x = 21, y = -73         (x and y are both integers)

If we take

Then solving these two linear equations we get

x = -21, y = 73         (x and y are both integers)

Thus the ordered pairs will be

Total number of ordered pairs = 4

Hope this answer is helpful.