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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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Answer» (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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