Register
Register

Q. 365.0( 1 Vote )

# Find the value of

Answer :

We are given that, We need to find the values of x and y.

We know by the property of matrices, This implies,

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

So, if we have Corresponding elements of two matrices are equal.

That is,

3x + y = 1 …(i)

-y = 2 …(ii)

2y – x = -5 …(iii)

3 = 3

To solve for x and y, we have equations (i), (ii) and (iii).

From equation (ii),

-y = 2

Multiplying both sides by -1,

-1 × -y = -1 × 2

y = -2

Substituting y = -2 in either of the equations (i) or (iii), say (i)

3x + y = 1

3x + (-2) = 1

3x – 2 = 1

3x = 1 + 2

3x = 3 x = 1

Thus, we get 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.
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 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