Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
253 views
in Sets, Relations and Functions by (67.7k points)
closed by
Solution of system x + y = 10, 2x + y = 18 and 4x - 3y = 26 is :

1 Answer

0 votes
by (68.9k points)
selected by
 
Best answer
`x+y = 10->(1)`
`2x+y = 18->(2)`
`4x-3y = 26->(3)`
Subtracting (2) from (1),
`2x+y-x-y = 18-10=> x = 8`
`y = 10-8 =>y= 2`
Now, multiplying (1) with 3 and then adding (1) and (3),
`3x+3y +4x-3y = 30+26`
`7x = 56=> x = 8`
`y = 10-8 =>y = 2`
Now, multiplying (2) with 3 and then adding (2) and (3),
`6x+3y+4x-3y = 54+26 =>10x = 80=> x = 8`
`y = 18-16 = 2`
So, solving all three equations, we get,
`x=8` and `y = 2`
So, solution for these three equations is unique solution.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...