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) $2 x + 3 y = 9.3 \overline{5}$
(ii) $x - \frac{y}{5} - 10 = 0$
(iii) $- 2 x + 3 y = 6$
(iv) $x = 3 y$
(v) $2 x = - 5 y$
(vi) $3 x + 2 = 0$
(vii) $y - 2 = 0$
(viii) $5 = 2 x$

Question

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 = 9.3 \overline{5}

(ii)

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

(iii)

- 2 x + 3 y = 6

(iv)

x = 3 y

(v)

2 x = - 5 y

(vi)

3 x + 2 = 0

(vii)

y - 2 = 0

(viii)

5 = 2 x

Filo · Accepted Answer

(i) 2x+3y=9.35ˉ⇒2x+3y−9.35ˉComparing the equation with ax+by+c=0a=2,b=3,c=−9.35ˉ(ii) x−5y​−10=0 Comparing the equation with ax+by+c=0a=1,b=−51​,c=−10(iii) −2x+3y=6⇒−2x+3y−6=0Comparing the equation with ax+by+c=0a=−2,b=3,c=−6(iv) x=3y⇒x−3y=0Comparing the equation with ax+by+c=0a=1,b=−3,c=0(v) 2x=−5y⇒2x+5y=0Comparing the equation with ax+by+c=0a=2,b=5,c=0(vi) 3x+2=0⇒3x+0y+2=0Comparing the equation with ax+by+c=0a=3,b=0,c=2(vii) y−2=0⇒0x+y−2=0Comparing the equation with ax+by+c=0a=0,b=1,c=−2(viii) 5=2x⇒−2x+0y+5Comparing the equation with ax+by+c=0a=−2,b=0,c=5

Question Text	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) $2 x + 3 y = 9.3 \overline{5}$ (ii) $x - \frac{y}{5} - 10 = 0$ (iii) $- 2 x + 3 y = 6$ (iv) $x = 3 y$ (v) $2 x = - 5 y$ (vi) $3 x + 2 = 0$ (vii) $y - 2 = 0$ (viii) $5 = 2 x$
Answer Type	Text solution:1
Upvotes	150

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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) 2x+3y=9.35(ii) x−5y​−10=0(iii) −2x+3y=6(iv) x=3y(v) 2x=−5y(vi) 3x+2=0(vii) y−2=0(viii) 5=2x

Text solutionVerified

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