Query about Question 3 from "PrepSwift: System of Equations" [3378]

How come both are different? Please check image

quations (Question 3)

A system of equations is unsolvable when the equations equal to two different numbers.

For example:
x + 2y = 4
2x + 4y = 10
If we multiply the first equation by 2, we get:
2x + 4y = 8

So essentially, we are getting:
2x + 4y = 10 AND 2x + 4y = 8 which indicates that 8=10 (which is obviously not true)

Therefore, in such cases it is unsolvable

However, in the given question, we get the same equation, 2x + 4y = 8 from both the provided equations.
Therefore, we have infinite number of pairs of x and y that can satisfy the equation.
Hence, the system of equations is solvable with infinite solutions.

I hope the difference is clear now.

Thank you so much