Write each of the following equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case.
(a) 3x + 2y = 7
Answers
Answer:An equation which can be put in the form ax+by+c=0, where a, b & c are real numbers x, y are variables, is called linear equation in two variables.
In equation ax+by+c=0, the values of x and y are always real.
·ax+by+c=0 is also called standard form a linear equation in two variables.
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Solution:
(i) 2x + 3y =9.35
2x + 3y -9.35 = 0
On comparing it to ax + by + c , We get:
a= 2, b=3 & c = -9.35
(ii) x – y/5 -10=0
On comparing it to ax + by +c = 0
a =1, b= -1/5 & c = -10
(iii) -2x+3y = 6
-2x+3y-6=0
On comparing it to ax + by + c =0
a = -2, b = 3 and c = -6.
(iv) x =3y
x-3y+0=0
On comparing it to ax + by +c =0
a=1, b=-3 and c =0
(v) 2x= -5y
=2x + 5y – 0 = 0
a=2, b = 5 and c =0
(vi) 3x+2 =0
3x+0y+2=0
On comparing it to ax + by + c = 0
a=3, b=0 and c =2
vii) y-2=0
0x+y-2=0
On comparing it to ax + by + c = 0
a=0, b=1, c =-2
viii) 5=2x
-2x+0y+5=0
On comparing it to ax + by + c = 0
a=-2, b=0, c =5
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Transposition - turn positive integer to negative and vice versa