If `[[x-y,z],[2x-y,w]]=[[-1,4],[0,5]]` find the value of x+y.

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#### Solution

`[[x-y,z],[2x-y,w]]=[[-1,4],[0,5]]`

It is known that if two matrices are equal, then their corresponding columns and rows are also equal.

x−y=−1 ...(1)

And 2x−y=0⇒2x=y

Considering the value of y in eq (1), we get:

x−2x=−1⇒x=1

and y=2

Hence, the value of *x* + *y* is 2 + 1 = 3.

Concept: Equality of Matrices

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