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Question

Which of the following point lies on lines 2x + 5y = -11 and 4x + 10y = -22?


A

(3,2)

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B

(-3,2)

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C

(6,5)

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D

(2,-3)

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Solution

The correct option is D

(2,-3)


If a point lies on both the lines 2x + 5y = -11 and 4x + 10y = -22, then it must be a common point which satisfies both the equations.

So, substituting (2,-3) in 2x + 5y = -11

we get,

4 + -15 = -11

-11 = -11

Now, substituting (2,-3) in 4x + 10y = -22

We get,

8 - 30 = -22

-22 = -22

Hence, point (2,-3) lie on both the lines.


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