Question

Find k if x=-1 and y=7.
√3x+√5y=15k

Answer 1

Hello!

• y = $\bf{7}$
• x = $\bf{-1}$


Then,

$\sf \sqrt{3}x + \sf \sqrt{5}y = \sf 15k \\ \\ \implies \sqrt{3}(-1) + \sqrt{5}(7) = \sf 15k \\ \\ \implies - \sqrt{3} + 7\sqrt{5} = \sf 15k \\ \\ \implies \sf 15k = 7\sqrt{5} - \sqrt{3} \implies \boxed{\red{\bf{k = \dfrac{7\sqrt{5} - \sqrt{3}}{15}}}}$

Cheers!