Question

ECUACIONES: POR FAVOR AYUDENME ES DE MATEMATICAS Y NO TENGO TIEMPO, CON PROCESO COMPLETO


3(x+3)+22(2x-4) = 12(2x-7)

x=




-21(x+1) - 14 (x-1)=12x

x=




\frac{2x-8}{10}-\frac{22-x}{3}=2
x=


\frac{4x-14}{5}=-6+\frac{6x+10}{4}
x=

Answer 1

Explicación paso a paso:

$3(x + 3) + 22(2x - 4) = 12(2x - 7) \\ 3x + 9 + 44x - 88 = 24x - 84 \\ 47x - 79 = 24x - 84 \\ 47x - 24x = - 84 + 79 \\ 23x = - 5 \\ x = - \frac{5}{23}$

$- 21(x + 1) - 14(x - 1) = 12x \\ - 21x - 21 - 14x + 14 = 12x \\ - 35x - 7 = 12x \\ - 35x - 12x = 7 \\ - 47x = 7 \\ x = - \frac{7}{47}$

$\frac{2x - 8}{10} - \frac{22 - x}{3} = 2 \\ \\ 30( \frac{2x - 8}{10} ) - 30( \frac{22 - x}{3} ) = 30 \times 2 \\ \\ 3(2x - 8) - 10(22 - x) = 60 \\ 6x - 24 - 220 + 10x = 60 \\ 16x - 244 = 60 \\ 16x = 60 + 244 \\ 16x = 304 \\ x = \frac{304}{16} \\ x = 19$

$\frac{4x - 14}{5} = - 6 + \frac{6x + 10}{4} \\ \\ 20( \frac{4x - 14}{5} ) = 20(- 6 )+ 20(\frac{6x + 10}{4} ) \\ \\ 4(4x - 14) = - 120 + 5(6x + 10) \\ 16x - 56 = - 120 + 30x + 50 \\ 16x - 56 = - 70 + 30x \\ 16x - 30x = - 70 + 56 \\ - 14x = - 14 \\ x = - 14 \div ( - 14) \\ x = 1$

Answer 2

Respuesta:

3(x+3)+22(2x−4)=12(2x−7)3x+9+44x−88=24x−8447x−79=24x−8447x−24x=−84+7923x=−5x=−235

\begin{gathered} - 21(x + 1) - 14(x - 1) = 12x \\ - 21x - 21 - 14x + 14 = 12x \\ - 35x - 7 = 12x \\ - 35x - 12x = 7 \\ - 47x = 7 \\ x = - \frac{7}{47} \end{gathered}−21(x+1)−14(x−1)=12x−21x−21−14x+14=12x−35x−7=12x−35x−12x=7−47x=7x=−477

\begin{gathered} \frac{2x - 8}{10} - \frac{22 - x}{3} = 2 \\ \\ 30( \frac{2x - 8}{10} ) - 30( \frac{22 - x}{3} ) = 30 \times 2 \\ \\ 3(2x - 8) - 10(22 - x) = 60 \\ 6x - 24 - 220 + 10x = 60 \\ 16x - 244 = 60 \\ 16x = 60 + 244 \\ 16x = 304 \\ x = \frac{304}{16} \\ x = 19\end{gathered}102x−8−322−x=230(102x−8)−30(322−x)=30×23(2x−8)−10(22−x)=606x−24−220+10x=6016x−244=6016x=60+24416x=304x=16304x=19

\begin{gathered} \frac{4x - 14}{5} = - 6 + \frac{6x + 10}{4} \\ \\ 20( \frac{4x - 14}{5} ) = 20(- 6 )+ 20(\frac{6x + 10}{4} ) \\ \\ 4(4x - 14) = - 120 + 5(6x + 10) \\ 16x - 56 = - 120 + 30x + 50 \\ 16x - 56 = - 70 + 30x \\ 16x - 30x = - 70 + 56 \\ - 14x = - 14 \\ x = - 14 \div ( - 14) \\ x = 1\end{gathered}54x−14=−6+46x+1020(54x−14)=20(−6)+20(46x+10)4(4x−14)=−120+5(6x+10)16x−56=−120+30x+5016x−56=−70+30x16x−30x=−70+56−14x=−14x=−14÷(−14)x=1