Question

The pair of equations 2x + 3y = 5 and 4x + 6y = 15 has

Options

• a unique solution

• exactly two solutions

• infinitely many solutions

• no solution

Answer 1

No solution

Explanation:

Here, `(a_1)/(a_2) = 2/4 = 1/2`

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

And `(c_1)/(c_2) = (-5)/(-15) = 1/3`

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

So, the given system has no solution.