Question

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

• A. (3,2)
• B. (-3,2)
• C. (6,5)
• D. (2,-3)

Answer 1

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,

$\Rightarrow$ 4 + -15 = -11

$\Rightarrow$ -11 = -11

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

We get,

$\Rightarrow$ 8 - 30 = -22

$\Rightarrow$ -22 = -22

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