Question

The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 has

Options

• a unique solution

• exactly two solutions

• infinitely many solutions

• no solution

Answer 1

No solution

Explanation:

Here, `(a_1)/(a_2) = 1/(-3) = (-1)/3`

`(b_1)/(b_2) = 2/(-6) = (-1)/3`

And `(c_1)/(c_2) = 5/1`

∴ `(a_1)/(a_2) = (b_1)/(b_2) ≠ (c_1)/(c_2)`

So, the given system has no solution.