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