Question

solve the equation 5x-10/3x=1

Answer 1

Solution:

$5x$$-{\frac{10}{3x}}=1$

$⟹{\frac{15x-10x}{3}}=1$

$⟹5x=1×3$

$⟹5x=3$

$⟹x={\frac{3}{5}}$

Verification:

$5x-{\frac{10}{3}}x=1$

$⟹5({\frac{3}{5}})$$-{\frac{10}{3}}$$({\frac{3}{5}})$

$⟹5×{\frac{3}{5}}$$-{\frac{10}{3}}$$×{\frac{3}{5}}=1$

$⟹3-2=1$

$⟹1=1$

$⟹L.H.S = R.H.S$

Thus, proved.

Value of x = ${\frac{3}{5}}$