Select Exam

91- 6303239042

Join

CAT WhatsApp Group

Question 35

The total number of integers pairs (x, y) satisfying the equation x + y = xy is

Solution

xy = x + y

=> xy - x - y = 0

=> xy - x - y + 1 = 1

=> (x - 1) (y - 1) = 1

=> Both x - 1 and y - 1 have to be equal to 1 or -1.

So, values taken by (x,y) are (2,2) and (0,0).

=> 2 solutions

Get 3 Free CAT Mock Tests with Expert Video Solutions Get 3 Free CAT Mock Tests

Need AI Help?

View More Questions From Linear Equations

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
41+ CAT previous year papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

maruti sir image

CAT Quant Questions | CAT Quantitative Ability

CAT Simple Interest Compound Interest Questions CAT Functions, Graphs and Statistics Questions CAT Data Sufficiency Questions CAT Averages, Ratio and Proportion Questions CAT Linear Equations Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Quant Based DI Questions CAT Miscellaneous LR Questions CAT Selection With Condition Questions CAT Puzzles Questions CAT Data Interpretation Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Verbal Ability Questions CAT Para Summary Questions CAT Para Jumbles Questions CAT Grammar and Sentence Correction Questions CAT Critical Reasoning Questions

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Enroll Now

cracku download image

Ask our AI anything

AI can make mistakes. Please verify important information.