Answer :

We are given that,


We need to find the value of (x – y).


Take,



Multiplying 2 by each element of the matrix,




In addition of matrices, we need to add the corresponding elements of the matrices.


So,




We know by the property of matrices,



This implies,


a11 = b11, a12 = b12, a21 = b21 and a22 = b22


So,


7 = 7


8 + y = 0 …(i)


10 = 10


2x + 1 = 5 …(ii)


Let us find x and y using the equations (i) and (ii).


From equation (i),


8 + y = 0


y = -8


From equation (ii),


2x + 1 = 5


2x = 5 – 1


2x = 4



x = 2


So, x = 2 and y = -8.


Then,


x – y = 2 – (-8)


x – y = 2 + 8


x – y = 10


Thus, the value of (x – y) is 10.


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
caricature
view all courses
RELATED QUESTIONS :

Using matrices, sMathematics - Board Papers

If possible, usinMathematics - Exemplar

If possible, usinMathematics - Exemplar

Using matrices, sMathematics - Board Papers

Prove that <span Mathematics - Board Papers

Find the value ofMathematics - Board Papers

If A is a <span lMathematics - Board Papers