Question

2 ] Express each of the following equations in the form ax + by + c = 0 and indicate the

values 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​

Answer 1

Step-by-step explanation:

(i) x = 6

In the form of ax + by + c = 0 we have x+0y+(-6)=0 where a = 1, b = 0 and c=-6.

(ii) 3x – y = x – 1

In the form of ax + by + c = 0 we have 2x+(-1y)+1=0 where a = 2, b = -1 and c = 1

(iii) 2x + 9 = 0

In the form of ax + by + c = 0 we have 2x+(-1y)+1=0 where a = 2, b = -1 and c = 1

(iv) 4y = 7

In the form of ax + by + c = 0 we have 0x+4y+(-7)=0 where a = 0, b = 4 and c = -7

(v) x + y = 4

In the form of ax + by + c = 0 we have 1x+1y+(-4)=0 where a=1,b=1,c=-4

(vi)

x

2

-

y

3

=

1

6

+y

In the form of ax + by + c = 0 we have 3x-2y=1+6y⇒3x-8y+(-1)=0 where a=3,b=-8,c=-1.