Question

1-.3y+12=24-7y
2-.19+4y=1-5y
3-.14w-7=-27-35w
4-.8x+4-2x=7-3x+11

Alguien que me pueda ayudar a contestar estás ecuaciones con su comprobacion porfa ​

Answer 1

3y+12=24-7y

$3y+12=24-7y\\\\3y+7y=24-12\\\\10y=12\\\\y=\frac{12}{10}\\\\y=\frac{6}{5}$

Comprobación:

$3(\frac{6}{5} )+12=24-7(\frac{6}{5} )\\\\\frac{18}{5}+12=24-\frac{42}{5}\\\\\frac{18}{5} +\frac{60}{5} =\frac{120}{5} -\frac{42}{5} \\\\ \frac{78}{5} =\frac{78}{5}$

19+4y=1-5y

$19+4y=1-5y\\\\4y+5y=1-19\\\\9y=-18y\\\\y=\frac{-18}{9}\\\\y=-\frac{18}{9}\\\\y=-2$

Comprobación:

$19+4(-2)=1-5(-2)\\\\19+(-8)=1-(-10)\\\\19-8=1+10\\\\11=11$

14w-7=-27-35w

$14w-7=-27-35w\\\\14w+35w=-27+7\\\\49w=-20\\\\w=\frac{-20}{49}\\\\w=-\frac{20}{49}$

Comprobación:

$14(-\frac{20}{49} )-7=-27-35(-\frac{20}{49} )\\\\-\frac{280}{49} -7=-27-(-\frac{700}{49} )\\\\-\frac{280}{49} -7=-27+\frac{700}{49} \\\\49(-\frac{280}{49} -7=-27+\frac{700}{49} )\\\\-280-343=-1323+700\\\\-623=-623$

8x+4-2x=7-3x+11

$8x+4-2x=7-3x+11\\\\8x-2x+3x=7+11-4\\\\9x=14\\\\x=\frac{14}{9}$

Comprobación:

$8(\frac{14}{9} )+4-2(\frac{14}{9} )=7-3(\frac{14}{9} )+11\\\\\frac{112}{9} +4-\frac{28}{9} =7-\frac{42}{9} +11\\\\9(\frac{112}{9} +4-\frac{28}{9} =7-\frac{42}{9} +11)\\\\112+36-28=63-42+99\\\\120=120$