Express the following equation as a linear equation in two variables in the standard form and indicate the values of a,b and c:√3/2y=3
Answers
Answer:
Step-by-step explanation:
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.
-----------------------------------------------------------------------------------------------------
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
==========================================================
Hope this will help you.....
An equation that has 2 variables and thier highest degree is 1, that is known as linear equation in two variable
SOLUTION-
The standard form of a linear equation in two variables is
ax + by = c , here, a,b and c are real numbers
Given-
√3/2y = 3
√3 = 2y(3)
√3 = 6y
0x + 6y = √3
Hence,
a = 0
b = 6
c = √3
NOTE- If a constant is not given for a variable, then the constant is taken as zero(0)