Question

Please solve this for me.

Answer 1

$\boxed{\mathrm{Solution-}}$

$\mathrm{5x - 3y - 2 = 0}$

$\mathrm{4x + 7y + 3 = 0}$

By cross multiplying, we have,

$\mathrm{ \frac{x}{( - 3 \: \times \: 3) - (7 \times - 2)} = \frac{y}{( - 2 \: \times \: 4) - (3 \times 5)} = \frac{1}{(5 \times 7) - (4 \times - 3)} }$

$\mathrm{\implies \frac{x}{ - 23} = \frac{y}{ - 23} = \frac{1}{23} }$

$\mathrm{\implies \: x = \frac{ - 23}{23} = - 1}$

$\mathrm{\implies y = \frac{ - 23}{23} = - 1}$

$\mathrm{\therefore x= -1 \: and \: y = -1}$