Express each of the following equation in the ax+by+c = 0 and indicate the vale of a,b,c in each case
(i) $x = 6$

(ii) $3 x - y = x - 1$

(iii) $2 x + 9 = 0$

(iv) $4 y = 7$

(v) $x + y = 4$

(vi) $\frac{x}{2} - \frac{y}{3} = \frac{1}{6} + y$

Question

Express each of the following equation in the ax+by+c = 0 and indicate the vale of a,b,c in each case (i) x=6 (ii) 3x−y=x−1 (iii)2x+9=0 (iv) 4y=7 (v) x+y=4 (vi)  2x​−3y​=61​+y

Filo · Accepted Answer

It is givenx=6we can also write it as x−6=0So it can be written as 1x+0y−6=0 By comaparing the equation with ax+by+c=0 The value of a=1,b=0 and c=−6 (ii) it is given  3x−y=x−1 we can also write it as 3x−x−y+1=0 2x−y+1=0 By comparing the equation with ax+by+c=0 The value of a=2,b=1 and c=1 (iii) it is given 2x+9=0 So it can be written as  2x+0y+9=0 By comparing the equation with ax+by+c=0 The value of a=2,b=0, and c=9 (iv) It is given  4y=7 We can also write it as 0x+4y−7=0 By comparing the equation with ax+by+c=0 The value of a=0,b=4 and c=7 (v) It is given  x+y=4 We can also write it as x+y−4=0 By comaparing the equation with ax+by+c=0 The value of a=1,b=1 and c=4 (vi) It is given 2x​−3y​=61​+y we can also write it as  2x​−3y​−y=61​ LCM of 2 and 3 is 6 we get  3x−2y−6y=1 So we get 3x−8y−1=0 By comparing the equation with ax+by+c=0 The value of a=3,b=8 and c=−1

Question Text	Express each of the following equation in the ax+by+c = 0 and indicate the vale of a,b,c in each case (i) $x = 6$ (ii) $3 x - y = x - 1$ (iii) $2 x + 9 = 0$ (iv) $4 y = 7$ (v) $x + y = 4$ (vi) $\frac{x}{2} - \frac{y}{3} = \frac{1}{6} + y$
Answer Type	Text solution:1
Upvotes	150

Express each of the following equation in the ax+by+c = 0 and indicate the vale of a,b,c in each case
(i) $x = 6$

(ii) $3 x - y = x - 1$

(iii) $2 x + 9 = 0$

(iv) $4 y = 7$

(v) $x + y = 4$

(vi) $\frac{x}{2} - \frac{y}{3} = \frac{1}{6} + y$

Text solutionVerified

Practice questions from similar books

Express each of the following equation in the ax+by+c = 0 and indicate the vale of a,b,c in each case (i) x=6 (ii) 3x−y=x−1 (iii)2x+9=0 (iv) 4y=7 (v) x+y=4 (vi) 2x​−3y​=61​+y

Text solutionVerified

Practice questions from similar books

Express each of the following equation in the ax+by+c = 0 and indicate the vale of a,b,c in each case
(i) $x = 6$

(ii) $3 x - y = x - 1$

(iii) $2 x + 9 = 0$

(iv) $4 y = 7$

(v) $x + y = 4$

(vi) $\frac{x}{2} - \frac{y}{3} = \frac{1}{6} + y$