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Which lines pass through point $(3, - 8) ?$

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3 x - 6 y = 48

9 x + 2 y = 1

7 x - 3 y = 45

8 x - 3 y = 0

answer is C.

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Detailed Solution

To check which line passes through the point

(3, - 8)

, we need to put the values in each of the equations given and whether the answer.
1)

3 x - 6 y = 48

L . H . S .

3 x - 6 y

Putting the values in this equation first,

= 3 \times 3 - 6 \times (- 8)

= 9 + 48

= 57

Which is

\neq R . H . S .

Therefore, this line doesn’t pass through the given point.
2)

9 x + 2 y = 1

L . H . S .

9 x + 2 y

Putting the values in this equation,

= 9 \times 3 + 2 \times (- 8)

= 27 - 16

= 11

Which is

\neq R . H . S .

Therefore, this line doesn’t pass through the given point.
3)

7 x - 3 y = 45

L . H . S .

7 x - 3 y

Putting the values in this equation,

= 7 \times 3 - 3 \times (- 8)

= 21 + 24

= 45

Which is

= R . H . S .

Therefore, this line passes through the given point.
4)

8 x - 3 y = 0

L . H . S .

8 x - 3 y

Putting the values in this equation,

= 8 \times 3 - 3 \times (- 8)

= 24 + 24

= 48

Which is

\neq R . H . S .

Therefore, this line doesn’t pass through the given point.

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Which lines pass through point (3,-8)?

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Which lines pass through point $(3, - 8) ?$