{a+x=10 1/a+1/x=5/12} помогите решить систему уравнений ) плизз

Решите задачу:

$\left \{ {{a+x=10} \atop { \frac{1}{a} + \frac{1}{x} = \frac{5}{12} }} \right. \left \{ {{a+x=10} \atop { \frac{x}{ax} + \frac{a}{ax} = \frac{5}{12} }} \right. \left \{ {{a+x=10} \atop { \frac{x+a}{ax}= \frac{5}{12} }} \right. \left \{ {{a+x=10} \atop { 12(x+a)= 5ax} }} \right. \left \{ {{a+x=10} \atop { 5ax=120} }} \right. \\ \\ \left \{ {{a+x=10} \atop { ax=24} }} \right. \left \{ {{a_1=6 ,a_2=4} \atop {x_1=4,x_2=6}} \right.$