Write 11x – 4 = √3 y in the form of ax+by+c =0 and write the values of a, b and c
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Answers
Answer: ( i ) 2x + 3y - 9.35 = 0
( ii ) 5x - y - 50 = 0
( iii ) - 2x + 3y - 6 = 0
( iv ) x - 3y + 0 = 0
( v ) 2x + 5y + 0 = 0
( vi ) 3x + 0y + 2 = 0
( vii ) 0x + y - 2 = 0
( viii ) - 2x + 0y + 5 = 0
Step-by-step-explanation:
We have given some linear equations in two variables.
We have to express them in the general form
ax + by + c = 0 and indicate the values of a, b and c.
( i ) 2x + 3y = 9.35
➞ 2x + 3y - 9.35 = 0
Comparing with ax + by + c = 0, we get,
a = 2
b = 3
c = - 9.35
( ii )
Multiplying each term by 5, we get,
➞ 5x - y - 50 = 0
Comparing with ax + by + c = 0, we get,
a = 5
b = - 1
c = - 50
( iii ) - 2x + 3y = 6
➞ - 2x + 3y - 6 = 0
Comparing with ax + by + c = 0, we get,
a = - 2
b = 3
c = - 6
( iv ) x = 3y
➞ x - 3y + 0 = 0
Comparing with ax + by + c = 0, we get,
a = 1
b = - 3
c = 0
( v ) 2x = - 5y
➞ 2x + 5y = 0
➞ 2x + 5y + 0 = 0
Comparing with ax + by + c = 0, we get,
a = 2
b = 5
c = 0
( vi ) 3x + 2 = 0
➞ 3x + 0y + 2 = 0
Comparing with ax + by + c = 0, we get,
a = 3
b = 0
c = 2
( vii ) y - 2 = 0
➞ 0x + y - 2 = 0
Comparing with ax + by + c = 0, we get,
a = 0
b = 1
c = - 2
( viii ) 5 = 2x
➞ 5 - 2x = 0
➞ - 2x + 5 = 0
➞ - 2x + 0y + 5 = 0
Comparing with ax + by + c = 0, we get,
a = - 2
b = 0
c = 5
Step-by-step explanation:
Thanks for your question...
Your required answer :
Given eq :
- 11x – 4 = √3 y
To write :
- In ax+by+c = 0 form
To find :
- Values of a , b and c
Solution :
In ax + by + c = 0 form :
- 11 x - √3y - 4 = 0
Now values :
- a = 11 x
- b = -√3y
- c = -4