Q. 2

# Show that each of the following systems of equations has a unique solution and solve it:2x - 3y = 17, 4x + y = 13.

Given: 2x – 3y = 17 – eq 1

4x + y = 13 – eq 2

Here,

a1 = 2, b1 = - 3, c1 = 17

a2 = 4, b2 = 1, c2 = 13 = , = Here,  Given system of equations have unique solutions.

Now,

In – eq 1

2x = 17 + 3y

X = Substitute x in – eq 2

we get, + y = 13 = 13

68 + 12y + 2y = 26

68 + 14y = 26

14y = 26 – 68

14y = - 42

y = = - 3

y = - 3

Now, substitute y in – eq 1

We get,

2x – 3×( - 3) = 17

2x + 9 = 17

2x = 17 – 9

2x = 8

x = 8/2 = 4

x = 4

x = 4 and y = - 3

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 