5x +2y = 51 Find the number of pairs of positive integers x and y that satisfy this equation

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

More than 10

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Cannot be determined

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 5
5x + 2y = 51 $\Rightarrow$ $y = \frac{51 - 5 x}{2}$
For y to be an integer, 51 - 5x must be an even number. So, x must be odd

x y

1 23

3 18

5 13

7 8

9 3

So, 5 pairs of values satisfy the condition.

Suggest Corrections

Similar questions

x

y

5 x - 7 y = 3

(x, y)

4 x^{2} + 4 x y + 2 y^{2} - 2 y + 1 = 0

(x, y)

x \sqrt{y} + y \sqrt{x} + \sqrt{2006 x y} - \sqrt{2006 x} - \sqrt{2006 y} - 2006 = 0

(x - y)^{2} + x^{2} = 25

x

y

x \geq 0

y

Join BYJU'S Learning Program