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Relation between Variables and Equations

Express the f...

Question

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:
(i) 5 = 2x
$(ii) - 2 x + \frac{y}{5} = 6$

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Solution

$(i) 5 = 2 x$
$∴ 2 x - 5 = 0$
$Comparing with a x + b y + c = 0,$
$a = 2, b = 0 & c = - 5.$
$(ii) - 2 x + \frac{y}{5} = 6$
$∴ \frac{- 10 x + y}{5} = 6$
$∴ - 10 x + y = 30$ $∴ - 10 x + y - 30 = 0$
$Comparing with a x + b y + c = 0,$
$a = - 10, b = 1 & c = - 30.$

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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) $2 x + 3 y = 9.35$

x - \frac{y}{2} - 5 = 0

y = \frac{x}{2}

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

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

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