Show graphically the given system of equations 2x+4y=10 and 3x+6y=12 has no solution

0 votes
31 views
asked Jan 30, 2018 in Mathematics by sforrest072 (157,439 points) 61 410 949
edited Mar 5, 2018 by faiz
Show graphically the given system of equations 2x+4y=10 and 3x+6y=12 has no solution.

1 Answer

0 votes
answered Jan 30, 2018 by mdsamim (213,225 points) 5 10 15
selected Jan 30, 2018 by sforrest072
 
Best answer

Plot the points D (2,1), E (0, 2) and F (4, 0) on the same graph paper. Join D, E and -F and extend it c-on both sides to obtain the graph of the equation 3x+6y =12 

we find that the lines represented by equations 2x + 4y = 10 and 3x + 6y = 12 are parallel. So, the two lines have no common point. Hence, the given system of equations has no 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.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon
~~~*****~~~

...