through which of the following points ,the graph of the linear equation 3x-2y=0 passes?
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Step-by-step explanation:
Given: The equation 3x - 2y = 0
To find: through which of the following points, the graph of the linear equation passes?
Solution:
Now the given points are:
a, (2/3,-2/3) b. (2/3,3/2) c. (1/3,1/2)
Putting each of them in the equation.
a. (2/3,-2/3) in 3x - 2y = 0, we get:
3(2/3) - 2(-2/3) = 0
2 + 4/3 ≠ 0
No
b. (2/3,3/2) in 3x - 2y = 0, we get:
3(2/3) - 2(3/2) = 0
2 - 3 ≠ 0
No
c. (1/3,1/2) in 3x - 2y = 0, we get:
3(1/3) - 2(1/2) = 0
1 - 1 = 0
Yes.
Answer:
So the point that satisfies the given equation is c. (1/3,1/2).
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