# Solve for x and y: We are given with a matrix equation, We need to find x and y.  These matrices can be added easily as they are of same order. If two matrices are equal, then their corresponding elements are also equal.

This implies,

2x + 3y – 8 = 0 …(i)

x + 5y – 11 = 0 …(ii)

We have two variables, x and y; and two equations. It can be solved.

Rearranging equation (i), we get

2x + 3y = 8 …(iii)

Rearranging equation (ii), then multiplying it by 2 on both sides, we get

x + 5y = 11

2(x + 5y) = 2 × 11

2x + 10y = 22 …(iv)

Subtracting equation (iii) from (iv), we get

(2x + 10y) – (2x + 3y) = 22 – 8

2x + 10y – 2x – 3y = 14

2x – 2x + 10y – 3y = 14

7y = 14 y = 2

Substituting y = 2 in equation (iii), we get

2x + 3(2) = 8

2x + 6 = 8

2x = 8 – 6

2x = 2 x = 1

Thus, x = 1 and y = 2.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Triangular Matrices & operations on matrices58 mins  Determinants of Matrices of different order59 mins  Types of Matrices & Properties51 mins  Determining a determinant63 mins  Interactive Quiz on Properties of Determinants43 mins  Know About finding the Adjoint & Inverse Of Matrix46 mins  Test Yourself, Properties of Determinants30 mins  Interactive Quiz on Matrices & Determinants48 mins  Lecture on Product of Determinants58 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 