x-2-1-y-3-5-8-11-0-find-x-and-y-

Question Number 36003 by rishijagtar@gmail.com last updated on 27/May/18

x [\begin{matrix} 2 \\ 1 \end{matrix}] + y [\begin{matrix} 3 \\ 5 \end{matrix}] + [\begin{matrix} - 8 \\ - 11 \end{matrix}] = 0

f i n d x a n d y

Answered by tanmay.chaudhury50@gmail.com last updated on 27/May/18

2 x + 3 y - 8 = 0

x + 5 y - 11 = 0

2 x + 3 y = 8

2 x + 10 y = 22

s o 7 y = 14

y = 2

x + 10 - 11 = 0

x = 1

Answered by Rio Mike last updated on 27/May/18

(\begin{matrix} 2 x \\ x \end{matrix}) + (\begin{matrix} 3 y \\ 5 y \end{matrix}) + (\begin{matrix} - 8 \\ - 11 \end{matrix}) = 0

2 x + 3 y - 8 = 0

2 x + 3 y = 8 \dots \dots \dots . . (1)

\Rightarrow x + 5 y - 11 = 0

x + 5 y = 11 \dots \dots \dots . (2)

bring (1) and (2) together

1 ∣ 2 x + 3 y = 8 \dots \dots (1)

2 ∣ x + 5 y = 11 \dots \dots . (2)

2 x + 3 y = 8 \dots \dots . (3)

2 x + 10 y = 22 \dots \dots (4)

- 7 y = - 14

y = 2

substitude y = 2 in (1)

2 x + 6 = 8

2 x = 2

x = 1

hence p (x, y) \to (1, 2)

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