What is the possible solution of 2x + 3y = 0 ?
Answers
Possible solution of 2x + 3y = 0 can be = (0, 0) (3, -2) (6, -4) (9, -6)
Step-by-step explanation:
Solutions for equation 2x + 3y = 0 are:
1.) X = 0 , Y = 0
Solution ⇒ 2 x 0 + 3 x 0 = 0 + 0 = 0
2.) X = 3, Y = -2
Solution ⇒2 x 3 + 3 x (-2) = 6 + -6 = 0
3.) X = 6, Y = -4
Solution ⇒ 2 x 6 + 3 x (-4) = 12 + -12 = 0
4.) X = 9, Y = -6
Solution ⇒ 2 x 9 + 3 x (-6) = 18 + -18 = 0
Hence, the possible solution for equation 2x + 3y can be (0, 0) (3, -2) (6, -4) (9, -6)
Given : 2x + 3y = 0
To Find : Possible solution
Solution:
ax + by = c is Equation of a line where a , b ∈ R and √a² + b² ≠ 0
Such line has infinite points on the line
Hence Equation has infinite solution
2x + 3y = 0
a = 2 , b = 3 , c = 0 and √2² + 3² ≠ 0
Hence Infinite solution :
2x + 3y = 0
=> 3y = - 2x
=> y = - 2x/3
x = 0 => y = 0
x = - 3 => y = 2
x = 3 => y = - 2
Few of possible solution
( 0 , 0) , ( -3 , 2) and ( 3 , - 2)
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