Question

Can the following equation hold simultaneously? $24\frac{x}{2}+\frac{5y}{3}=12,\frac{5x}{4}-\frac{y}{6}=4\&7x-3y=10$

Answer 1

$\frac{5x}{4}-\frac{y}{6}=4...\left(1\right)7x-3y=10...\left(2\right)$

Sloving (1) & (2) we get,

$x=4,y=6.$

Substitute in $\frac{24x}{2}+\frac{5y}{3}=12$

$\frac{24\times 4}{2}+\frac{5\times 6}{3}=12$

$58\ne 12LHS\ne$ RHS.

Equation Cannot hold simultaneously.