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Polynomial and Its General Form

Write each of...

Question

Write each of the following equation in the form $a x + b y + c = 0$ and indicate the value of $a, b$ and $c$ in each case:
(i) $2 x + 3 y = 6.37$
(ii) $x - 4 = \sqrt{2} y$
(iii) $x = 3 y$

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Solution

$\sqrt{5} x - 2 y = 9.35$
$\sqrt{5} x - 2 y - 9.35 = 0$
compare with $a x + b y + c = 0$
$a = \sqrt{5}, b = - 2, c = - 9.35$

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Similar questions

Express the following linear equations in the form $a x + b y + c = 0$ and indicate the values of a, b and c in each case:

(i) $- 2 x + 3 y = 12$ (ii) $x - \frac{y}{2} - 5 = 0$ (iii) $2 x + 3 y = 9.35$

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b, c in each case:

(i) (ii) (iii) − 2x + 3 y = 6

(iv) x = 3y (v) 2x = − 5y (vi) 3x + 2 = 0

(vii) y − 2 = 0 (viii) 5 = 2x

a x + b y + c = 0

a, b

c

2 x + 3 y = 9.3 ¯ ¯ ¯ 5

x - \frac{y}{5} - 10 = 0

- 2 x + 3 y = 6

x = 3 y

2 x = - 5 y

3 x + 2 = 0

y - 2 = 0

5 = 2 x

a x + b y + c = 0

a, b

c

x - 4 = \sqrt{3} y

(i) 2 x + 3 y = 9.

(i i) x + \frac{y}{5} + 10 = 0

(i i i) 2 x + 3 y = 6

(i v) x = 3 y

(v) 2 x = 5 y

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