Ask a Doubt
Request a call back

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

CBSE Class 10 Answered

x+ay=b ax-by=c Solve for x and y
Asked by Brahmananda | 24 Apr, 2019, 11:49: AM
answered-by-expert Expert Answer

x + ay=b   .... (i)

ax - by=c  ....(ii)

Multiply equation (i) by a, we get

ax + a2y= ab   .... (iii)

Subtracting equation (ii) from equation (iii), we get

a2y + by = ab - c

begin mathsize 16px style rightwards double arrow space space straight y equals fraction numerator ab space minus space straight c over denominator straight a squared space plus space straight b end fraction end style

Put the value of y in the equation (i), we get

x = b - ay

begin mathsize 16px style rightwards double arrow space straight x space space space equals space straight b space minus straight a space open parentheses fraction numerator ab space space minus space space straight c over denominator straight a squared space plus space straight b end fraction close parentheses space space space space space space space space space space space equals fraction numerator straight b squared space space plus space space space ac over denominator straight a squared space plus space straight b end fraction end style

Answered by Yasmeen Khan | 24 Apr, 2019, 01:01: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test Subjective Questions Webinar Subjective Questions Pre Board Assessment
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
Five years ago Nuri was thrice as old as Sonu. Ten years later Nuri will be twice as old as Sonu. How old are Nuri and Sonu?
Asked by choithanimahak | 05 Aug, 2022, 09:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
5x -4y + 8 = 0 7x +6y -9 =0
Asked by anuragchoudhary812 | 19 Jul, 2022, 07:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find the value of a and b
question image
Asked by patelnaimesh842004 | 17 Jul, 2022, 07:43: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A and B, each has a certain amount (in ₹). If A gives ₹40 to B, both will have equal amounts. If B gives ₹110 to A, A will have 4 times the amount left with B. What is the initial amount with B?
Asked by maitrymody2004 | 12 Jun, 2022, 11:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
3x/2-5y/3=-2 x/3+y/2=13/6 by elimination method
Asked by tapasyachitore07 | 31 Mar, 2022, 09:30: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
2ax+3by=(a+2b) 3ax+2by=2(a+b)
question image
Asked by ananyak4213277 | 17 Sep, 2021, 07:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
how to solve it
question image
Asked by sanshruti06 | 31 Jul, 2021, 07:43: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If the linear equation in two variables 2x –y = 2, 3y –4x = -2and px–3y = 2are concurrent, then find the value of p
Asked by jarvickanishk619 | 28 Jul, 2021, 12:54: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If ܽa + b = 35 and a − b = 13, where a > b, then find the value of a and ܾb.
Asked by hethirpatel | 11 Jul, 2021, 08:57: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Solve the system of linear equations by elimination method 2/3x+3/4y=1/12;3x/4-2/3y=-1/2
Asked by jayprakash240770 | 11 Jun, 2021, 10:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt