A-2-b-translation-T-1-3-b-followed-by-translation-T-2-a-4-A-b-1-a-3-determine-the-value-of-a-b-

Question Number 8528 by suci last updated on 14/Oct/16

A (2, b) t r a n s l a t i o n T_{1} = (\begin{matrix} - 3 \\ b \end{matrix})

f o l l o w e d b y t r a n s l a t i o n T_{2} = (\begin{matrix} a \\ 4 \end{matrix})

A^{'} = (b - 1, a - 3)

d e t e r m i n e t h e v a l u e o f a + b = \dots ?

Answered by sandy_suhendra last updated on 14/Oct/16

2 - 3 + a = b - 1 \Rightarrow a - b = 0 \dots . (1)

b + b + 4 = a - 3 \Rightarrow a - 2 b = 7 \dots . (2)

(1) - (2) \Rightarrow b = - 7 and a = - 7

so a + b = - 7 - 7 = - 14

Answered by 666225 last updated on 15/Oct/16

\boldsymbol a n s w e r

- 3 + a = 2 \equiv a = 5 . . (A)

\boldsymbol s u b .

- 3 + a = b - 1 . . (A^{'})

- 3 + 5 = b - 1 \equiv b = 3

b + 4 = b \equiv 2 b = 4 \equiv b = 2 . . (A)

\boldsymbol s u b .

b + 4 = a - 3 . . (A^{'})

2 + 4 = a - 3 \equiv a = 7

\Rightarrow a + b = (5 + 7) + (3 + 2) = 17

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