1. Express the following equations in the form ax + by + c = 0 and indicate the values of
and c in each case:
i) 4 = 5x - 30
(ii) - 2x + 3y = 6
(iii) x- (y/5)=10
(iv) 2x = -7y
Answers
Answer:
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) 3x + 5y = 7.5
(ii) 2x−y5+6=0
(iii) 3y – 2x = 6
(iv) 4x = 5y
(v) x5−y6=1
(vi) 2–√x+3–√y=5
ANSWER:
(i) 3x + 5y = 7.5
This can be expressed in the form ax + by + c = 0 as 3x+5y+(−7.5)=0.
(ii) 2x−y5+6=0
This can be expressed in the form ax + by + c = 0 as 2x+(−15)y+6=0
(iii) 3y – 2x = 6
This can be expressed in the form ax + by + c = 0 as 2x+(−3y)+6=0.
(iv) 4x = 5y
This can be expressed in the form ax + by + c = 0 as 4x−5y+0=0
(v) x5−y6=1
This can be expressed in the form ax + by + c = 0 as 6x−5y=30
(vi) 2–√x+3–√y=5
This can be expressed in the form ax + by + c = 0 as
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
(vi) x2−y3=16+y
ANSWER:
(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) x2−y3=16+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.
for example