Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

solve for x and y :  5 / x -1   +  1 / y -2 = 2 ;  6 / x-1 - 3/y-2 =1.
Asked by nisha_vini29 | 07 Sep, 2015, 09:47: PM
answered-by-expert Expert Answer

C o n s i d e r space t h e space g i v e n space s y s t e m space o f space e q u a t i o n s colon fraction numerator 5 over denominator x minus 1 end fraction plus fraction numerator 1 over denominator y minus 2 end fraction equals 2 A n d comma space fraction numerator 6 over denominator x minus 1 end fraction minus fraction numerator 3 over denominator y minus 2 end fraction equals 1 S u b s t i t u t i n g space X equals fraction numerator 1 over denominator x minus 1 end fraction space a n d space Y equals fraction numerator 1 over denominator y minus 2 end fraction comma space w e space h a v e comma 5 X plus Y equals 2... left parenthesis 1 right parenthesis 6 X minus 3 Y equals 1... left parenthesis 2 right parenthesis M u l t i p l y i n g space e q u a t i o n space left parenthesis 1 right parenthesis space b y space 3 comma space w e space h a v e comma 15 X plus 3 Y equals 6... left parenthesis 3 right parenthesis A d d i n g space e q u a t i o n s space left parenthesis 2 right parenthesis space a n d space left parenthesis 3 right parenthesis comma space w e space h a v e comma 21 X equals 7 rightwards double arrow X equals 7 over 21 rightwards double arrow X equals 1 third rightwards double arrow fraction numerator 1 over denominator x minus 1 end fraction equals 1 third rightwards double arrow x minus 1 equals 3 rightwards double arrow x equals 3 plus 1 rightwards double arrow x equals 4 S u b s t i t u t i n g space X equals 1 third space i n space e q u a t i o n space left parenthesis 1 right parenthesis comma space w e space h a v e comma 5 X plus Y equals 2 rightwards double arrow 5 cross times 1 third plus Y equals 2 rightwards double arrow Y equals 2 minus 5 over 3 rightwards double arrow Y equals fraction numerator 6 minus 5 over denominator 3 end fraction rightwards double arrow Y equals 1 third rightwards double arrow fraction numerator 1 over denominator y minus 2 end fraction equals 1 third rightwards double arrow y minus 2 equals 3 rightwards double arrow y equals 3 plus 2 rightwards double arrow y equals 5

Answered by | 09 Sep, 2015, 06:08: PM
CBSE 10 - Maths
Asked by sonawnerohan01 | 23 Mar, 2024, 12:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pathakvaishnavi9139 | 23 Mar, 2024, 10:45: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by choudharyniki001 | 22 Mar, 2024, 08:49: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by vn3950372 | 18 Mar, 2024, 08:38: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by vestigevestige85 | 17 Mar, 2024, 09:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by suvarnaapkare | 15 Mar, 2024, 04:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by anubhutiupadhaya | 15 Mar, 2024, 03:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×