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Equations with One Variable

6 x+5 y=9, cu...

Question

6x + 5y = 9, cuts the x-axis on which point?

A

(0, )

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B

( , 0)

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C

(1, )

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D

(2, 3)

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Solution

The correct option is B
( , 0)

The line cuts the x-axis when the value of y coordinate is 0.
Thus, On x-axis y = 0
Putting this value in the given equation:
$\Rightarrow 6 x = 9$
$\Rightarrow x = \frac{3}{2}$
Thus, the point where the given line cuts the x-axis is ( $\frac{3}{2}$ ,0).

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