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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 = 12

(ii) x - y/2 -5 = 0

(iii) 2x +3y = 9.35 bar

(iv) 3x = -7y

(v) 2x +3 = 0

(vi) y -5 = 0

(vii) 4 = 3x

(viii) = y = x/2

 

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(i) We have

-2x +3y = 12

-2x +3y -12 = 0

On comparing this equation with ax +by +c = 0 we obtain a = -2, b =3 and c = -12.

(ii) Given that

x - y/2 -5 = 0

1x - y/2 -5 = 0

On comparing this equation with ax +by +c = 0 we obtain a =1, b = 1/2 and c = -5

(iii) Given that

2x + 3y = 9.35 bar

2x +3y - 9.35 bar = 0

On comparing this equation with ax +by +c = 0 we get a = 2, b =3 and c = -9.35 bar

(iv) 3x = -7y

3x +7y +0 = 0

On comparing this equation with ax +by +c = 0 we get a =3, b =7 and c = 0

(v) We have

2x +3 = 0

2x + 0(y) +3 =0

On comparing this equation with ax + by + c = 0 we get a =2, b=0, and c =3

(vi) Given that

y -5 = 0

0x + 1y -5 = 0

On comparing this equation with ax + by +c = 0 we get a =0, b =1 and c = -5

(vii) We have

4 = x

-3x + 0.y +4 = 0

On comparing the equation with ax + by +c = 0 we get a = -3, b = 0 and c =4

(viii) Given that,

y = x/2

2y = x

x -2y +0 =0

On comparing this equation with ax +by +c = 0 we get a =1, b =-2 and c= 0

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