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Question -

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b, c in each case:
(i)┬а┬а(ii)┬а┬а(iii) тИТ 2x┬а+ 3┬аy┬а= 6

(iv)┬аx┬а=3y┬а(v) 2x┬а=тИТ 5y┬а(vi) 3x┬а+2 = 0

(vii)┬аy┬атИТ2 = 0 (viii) 5 = 2x



Answer -

(i)┬а

= 0

Comparing this equation with┬аax┬а+ by┬а+┬аc┬а=0,

a┬а= 2,┬аb┬а= 3,┬а┬а

(ii)┬а

Comparing this equation with┬аax┬а+ by┬а+┬аc┬а=0,

a┬а= 1,┬аb┬а=

,┬аc┬а= тИТ10


(iii) тИТ 2x┬а+3┬аy┬а= 6

тИТ 2x┬а+ 3┬аy┬атИТ 6 = 0

Comparing this equation with┬аax┬а+ by┬а+┬аc┬а=0,

a┬а= тИТ2, b┬а= 3,┬аc┬а= тИТ6


(iv)┬аx┬а=3y

1x┬атИТ 3y┬а+ 0 = 0

Comparing this equation with┬аax┬а+ by┬а+┬аc┬а=0,

a┬а= 1, b┬а= тИТ3,┬аc┬а= 0


(v) 2x┬а= тИТ5y

2x┬а+ 5y┬а+ 0 = 0

Comparing this equation with┬аax┬а+ by┬а+┬аc┬а=0,

a┬а= 2, b┬а= 5,┬аc┬а= 0


(vi) 3x┬а+ 2= 0

3x┬а+ 0.y┬а+ 2 = 0

Comparing this equation with┬аax┬а+ by┬а+┬аc┬а=0,

a┬а= 3, b┬а= 0,┬аc┬а= 2


(vii)┬аy┬атИТ2 = 0

0.x┬а+ 1.y┬атИТ 2 = 0

Comparing this equation with┬аax┬а+ by┬а+┬аc┬а=0,

a┬а= 0,┬аb┬а= 1,┬аc┬а=тИТ2


(viii) 5 = 2x

тИТ 2x┬а+ 0.y┬а+ 5 = 0

Comparing this equation with┬аax┬а+ by┬а+┬аc┬а=0,

a┬а= тИТ2,┬аb┬а= 0,┬аc┬а=5

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