if-a-2i-3j-b-19-15j-and-c-5i-7j-find-the-value-of-x-such-that-xa-yc-b-

Question Number 10184 by ketto last updated on 29/Jan/17

i f \underline{a} = 2 i + 3 j . \underline{b} = 19 - 15 j a n d

\underline{c} = 5 i - 7 j . f i n d t h e v a l u e o f x s u c h

t h a t x \underline{a} + y \underline{c} = b

Answered by sandy_suhendra last updated on 29/Jan/17

x (2 i + 3 j) + y (5 i - 7 j) = 19 i - 15 j

\Rightarrow 2 x + 5 y = 19 \dots . . (\times 7) \Rightarrow 14 x + 35 y = 133

\Rightarrow 3 x - 7 y = - 15 . . (\times 5) \Rightarrow 15 x - 35 y = - 75

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29 x = 58 \Rightarrow x = 2

Answered by chux last updated on 29/Jan/17

lets try these \dots . .

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