# Solve for x and y:4x - 3y = 8,

We have,

4x – 3y = 8 …eq.1

…eq.2

Let us first simplify eq.2 by taking LCM of denominator,

Eq.2

18x – 3y = 29 …eq.3

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

And it is so that the equations 1 & 3 have variable y having same coefficient already, so we need not multiply or divide it with any number.

Recalling equations 1 & 3,

4x – 3y = 8

18x – 3y = 29

4x – 3y = 8

18x – 3y = 29

On solving the above equations we get,

- 14x = - 21

Substitute in eq.1/eq.3, as per convenience of solving.

Thus, substituting in eq.1, we get

4 – 3y = 8

6 – 3y = 8

3y = 6 – 8

3y = - 2

Hence, we have and

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Dealing With the Real Life Problems53 mins
Quiz | Solution of Linear Equations53 mins
Champ Quiz | Consistency and Inconsistency of Solutions36 mins
Pair of Linear Equations in Two Variables46 mins
Smart Revision | Important Word Problems37 mins
Dealing with the Real Life Problems54 mins
Quiz | Real Life Problems Through Linear Equations56 mins
Elimination (quicker than quickest)44 mins
Bonus on Applications of Linear Equations in Two Variables43 mins
NCERT I Quiz on Solution of Linear Equations in Two Variables49 mins
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