Write the following equation in the form ax + by + c = 0 and find values of a, b and c:
4 = 3x - 5y. Check whether (1, -1) and (3, 1) are solutions of this equation or not.
Answers
SOLUTION
TO DETERMINE
1. Write the following equation in the form ax + by + c = 0 and find values of a, b and c :
4 = 3x - 5y.
2. Check whether (1, -1) and (3, 1) are solutions of this equation or not.
EVALUATION
ANSWER TO QUESTION : 1
Here the given equation is
4 = 3x - 5y
Which can be rewritten as below :
4 = 3x - 5y
⇒ 3x - 5y - 4 = 0
Which is of the form ax + by + c = 0
where a = 3 , b = - 5 , c = - 4
ANSWER TO QUESTION : 2
Check : I
Here the given equation of the line is
3x - 5y - 4 = 0
Putting x = 1 & y = - 1 we get
Since 3 × 1 - 5 × ( - 1 )
= 3 + 5
= 8 ≠ 4
So(1, -1) is not a solution of the equation 3x - 5y - 4 = 0
Check : II
Here the given equation of the line is
3x - 5y - 4 = 0
Putting x = 3 & y = 1 we get
Since 3 × 3 - 5 × 1
= 9 - 5
= 4
So (3, 1) is a solution of the equation 3x - 5y- 4 = 0
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Answer:
3,1 IS AWNSER
Step-by-step explanation:
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