Question

Ecuacion

17(x-3)+17(x-5)=187
Procedimiento y comprobación por favor, gracias.

Answer 1

Respuesta:

x = 19/2

Explicación paso a paso:

Resolución:

$17(x-3)+17(x-5)=187$

El factor común en el 17:

$\frac{17(x-3)}{17}+ \frac{17(x-5)}{17}= \frac{187}{17}$

$(x-3)+(x-5)= 11$

$x-3+x-5= 11$

$2x-8 = 11$

$2x= 11 + 8$

$2x= 19$

$x = \frac{19}{2}$

Comprobación:

$17(x-3)+17(x-5)=187$

$17(\frac{19}{2}-3)+17(\frac{19}{2}-5)=187$

$17(\frac{19}{2}-\frac{6}{2})+17(\frac{19}{2}-\frac{10}{2})=187$

$17(\frac{19-6}{2})+17(\frac{19-10}{2})=187$

$17(\frac{13}{2})+17(\frac{9}{2})=187$

$(\frac{17\times13}{2})+(\frac{17\times9}{2})=187$

$(\frac{221}{2})+(\frac{153}{2})=187$

$(\frac{221+153}{2})=187$

$(\frac{374}{2})=187$

$187=187$