Join WhatsApp Icon CAT WhatsApp Group
Question 35

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

Solution

Share

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 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

CAT Quant Questions | CAT Quantitative Ability

CAT Algebra QuestionsCAT Data Sufficiency QuestionsCAT Remainders QuestionsCAT Averages QuestionsCAT Probability, Combinatorics Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Puzzles QuestionsCAT Data Interpretation QuestionsCAT Data change over a period QuestionsCAT Charts QuestionsCAT Table based DI Sets Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Summary QuestionsCAT Vocabulary QuestionsCAT Critical Reasoning QuestionsCAT Odd One Out QuestionsCAT Reading Comprehension Questions

Free CAT DILR Questions

CAT 2D & 3D LRCAT PuzzlesCAT Maxima-MinimaCAT ArrangementCAT Routes And NetworksCAT Venn DiagramsCAT Special ChartsCAT Data Interpretation BasicsCAT Data InterpretationCAT Truth Lie ConceptCAT DI MiscellaneousCAT Quant Based LRCAT SchedulingCAT Quant Based DICAT Data change over a periodCAT Coins and WeightsCAT Games and TournamnentsCAT Table based DI SetsCAT ChartsCAT Miscellaneous LRCAT DI with connected data setsCAT Selection With Condition

Related Formulas With Tests

Linear Equations - Integral Solutions

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

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

Crack CAT 2026 & Other Exams with Cracku!

Enroll Now
Ask AI