The equations: $x + 4y - 3 = 0$ and $2x + 8y - 6=0$ have
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → infinite solutions
Let’s examine the two equations:
- $x + 4y - 3 = 0$
- $2x + 8y - 6 = 0$
Notice that the second equation is exactly twice the first:
$2(x + 4y - 3) = 2x + 8y – 6$
So, both equations represent the same straight line.
Therefore, the system has infinitely many solutions.