Question

Resolver
2m+3/2+1=5-m/5​

Answer 1

Respuesta:

$2m+\frac{3}{2}+1=5-\frac{m}{5}$

Convertir a Fracción

$1=\frac{1\cdot \:2}{2}$

$\frac{1\cdot \:2}{2}+\frac{3}{2}=5-\frac{m}{5}$

$\frac{1\cdot \:2+3}{2}=5-\frac{m}{5}$

$1\cdot \:2+3=5$

$2m+\frac{5}{2}=5-\frac{m}{5}$

$2m=\frac{5}{2}-\frac{m}{5}$

$2m+\frac{m}{5}=\frac{5}{2}-\frac{m}{5}+\frac{m}{5}$

Simplificamos

$\frac{11m}{5}=\frac{5}{2}$

$\frac{5\cdot \:11m}{5}=\frac{5\cdot \:5}{2}$

$\frac{5\cdot \:11m}{5}=11m$

$\frac{5\cdot \:5}{2}=\frac{25}{2}$

$\boxed{11m=\frac{25}{2}}$

$m=\frac{25}{22}$

Verificamos solución

$\frac{11m}{11}=m$

$\frac{\frac{25}{2}}{11}=\frac{25}{22}$

$\boxed{m=\frac{25}{22}}$

Saludos...