Answer :

We are given with,


We need to find the value of x.


By property of matrices,



Similarly,



…(i)


And,



…(ii)


Adding equations (i) and (ii),



Now,


Since



Adding the two matrices on the right hand side by simply adding the corresponding elements,




We know by the property of matrices,



This implies,


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


So, this means that we can get two equations,


10 = 2x – y …(iii)


5 = 3x + y …(iv)


We have two equations and two variables.


Solving equations (iii) and (iv),



5x = 15



x = 3


Thus, we get x = 3.


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