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Please provide solution to this question

Asked by Topperlearning User 18th September 2017, 12:25 PM
Answered by Expert
Answer:

By equality of matrices, we have

x + y = 5  ....(i)

a + b = -1  ….(ii)

a - b = 3  ….(iii)

2x - 3y = -5 ….(iv)

Adding (ii) and (iii), we get

2a = 2 a = 1

Putting a = 1 in (ii), we get

1 + b = -1 b = -2

To find x and y, multiplying (i) by 3, we get

3x + 3y = 15 ….(v)

Adding (iv) and (v), we get

5x = 10 x = 2

Putting x = 2 in (i), we get

2 + y = 5 y = 3

Hence, x = 2, y = 3, a = 1 and b = -2.

Answered by Expert 18th September 2017, 2:25 PM
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