Q. 6

# Solve for x and y

Rearranging the equations, we have

2x – y = - 3 …eq.1

3x – 7y = - 10 …eq.2

To solve these equations, we need to make one of the variables (in both the equations) have same coefficient.

Lets multiply eq.1 by 7, so that variable y in both the equations have same coefficient.

Recalling equations 1 & 2,

2x – y = - 3 [×7

3x – 7y = - 10

14x – 7y = - 21

3x – 7y = - 10

On solving the above two equations we get,

11x = - 11

x = - 1

Substitute x = - 1 in eq.1/eq.2, as per convenience of solving.

Thus, substituting in eq.1, we get

2( - 1) – y = - 3

- 2 – y = - 3

y = - 2 + 3

y = 1

Hence, we have x = - 1 and y = 1.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Solve each of theRS Aggarwal - Mathematics

If 2x – 3y = 7 anRD Sharma - Mathematics

Solve the followiRD Sharma - Mathematics

Solve each of theRD Sharma - Mathematics