Question

resuelve las siguientes ecuaciones​

Answer 1

Respuesta:

resuelve las siguientes ecuaciones​

Explicación paso a paso:

$x-5\left(2x-3\right)=3\left(x-1\right)+4\\x-10x+15=3\left(x-1\right)+4\\-9x+15=3\left(x-1\right)+4\\-9x+15=3x+1\\-9x+15-15=3x+1-15\\-9x=3x-14\\-9x-3x=3x-14-3x\\-12x=-14\\\frac{-12x}{-12}=\frac{-14}{-12}\\x=\frac{7}{6}$

$\frac{2\left(x-5\right)}{3}+4=5x-2\\\frac{2\left(x-5\right)}{3}+4-4=5x-2-4\\\frac{2\left(x-5\right)}{3}=5x-6\\\frac{2\left(x-5\right)}{3}\cdot \:3=5x\cdot \:3-6\cdot \:3\\2\left(x-5\right)=15x-18\\2x-10=15x-18\\2x-10+10=15x-18+10\\2x=15x-8\\2x-15x=15x-8-15x\\-13x=-8\\\frac{-13x}{-13}=\frac{-8}{-13}\\x=\frac{8}{13}$

$3-\frac{x+2}{5}=5\left(3x-2\right)\\3-\frac{x+2}{5}-3=5\left(3x-2\right)-3\\-\frac{x+2}{5}=15x-13\\-\frac{x+2}{5}\cdot \:5=15x\cdot \:5-13\cdot \:5\\-\left(x+2\right)=75x-65\\-x-2=75x-65\\-x-2+2=75x-65+2\\-x=75x-63\\-x-75x=75x-63-75x\\-76x=-63\\\frac{-76x}{-76}=\frac{-63}{-76}\\x=\frac{63}{76}$

$3\left(x-4\right)+10=13-x\\3x-2=13-x\\3x-2+2=13-x+2\\3x=-x+15\\3x+x=-x+15+x\\4x=15\\\frac{4x}{4}=\frac{15}{4}\\x=\frac{15}{4}$