Question

x = 15 to
+ 55-2 then the value of x
JJ5+1​

Answer 1

Answer:

5x + 4|y| = 55

The equation can be rewritten as 4|y| = 55 - 5x.

Because |y| is non-negative, 4|y| will be non-negative. Therefore, (55 - 5x) cannot take negative values.

Because x and y are integers, 4|y| will be a multiple of 4.

Therefore, (55 - 5x) will also be a multiple of 4.

55 is a multiple of 5. 5x is a multiple of 5 for integer x. So, 55 - 5x will always be a multiple of 5 for any integer value of x.

So, 55 - 5x will be a multiple of 4 and 5.

i.e., 55 - 5x will be a multiple of 20.

Integer values of x > 0 that will satisfy the condition that (55 - 5x) is a multiple of 20:

1. x = 3, 55 - 5x = 55 - 15 = 40.

2. x = 7, 55 - 5x = 55 - 35 = 20

3. x = 11, 55 - 5x = 55 - 55 = 0.

When x = 15, (55 - 5x) = (55 - 75) = -20. Because (55 - 5x) has to non-negative x = 15 or values greater than 15 are not possible.

So, x can take only 3 values viz., 3, 7, and 11.