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  • In each of the following cases, find a and b.(i) (2a + b, a – b) = (8, 3) (ii) (a/4 , a – 2b) = (0, 6 + b)

In each of the following cases, find a and b.
(i) (2a + b, a - b) = (8, 3)

(ii) (a/4 , a - 2b) = (0, 6 + b)

Answers (1)

Given data:

(2a + b, a - b) = (8, 3)

 

If & only if the corresponding coordinates are equal the two ordered pairs will be equal.

Thus, 2a + b = 8   …… (i)

& a - b = 3           ……. (ii)

 

From (i) & (ii), we get,

A = 11/3 & b = 2/3

  1. Given data:

(a/4, a - 2b) = (0, 6 + b)

If & only if the corresponding coordinates are equal the two ordered pairs will be equal.

Thus, a/4 = 0 \rightarrow a = 0

& a - 2b = 6 + b \rightarrow a – 3b = 6

                      0 - 3b = 6

                    b = -2

Thus, a = 0 & b = -2

 

 

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infoexpert21

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