Question

resolver las siguientes ecuaciones con su respectiva comprobación

Answer 1

Respuesta:

1.

$x + 6 = 20 \\ x = 20 - 6 \\ x = 14 \\ \\ x + 6 = 20 \\ 14 + 6 = 20 \\ 20 = 20$

2.

$x + 13 = 18 \\ x = 18 - 13 \\ x = 5 \\ \\ x + 13 = 18 \\ 5 + 13 = 18 \\ 18 = 18$

3.

$x - 10 = 19 \\ x = 19 + 10 \\ x = 29 \\ x - 10 = 19 \\ 29 - 10 = 19 \\ 19 = 19$

4.

$x - 5 = 47 \\ x = 47 + 5 \\ x = 52\\ x - 5 = 47 \\ 52 - 5 = 47 \\ 47 = 47$

5.

$\frac{x}{9} = 25 \\ x = 25 \times 9 \\ x = 225 \\ \frac{x}{9} = 25 \\ \frac{225}{9} = 25 \\ 25 = 25$

6.

$\frac{x}{12} = 36 \\ x = 36 \times 12 \\ x = 432 \\ \frac{x}{12} = 36 \\ \frac{432}{12} = 36 \\ 36 = 36$

7.

$6x + 7 = 36 - 4x \\ 6x + 4x = 36 - 7 \\ 10x = 29 \\ x = \frac{29}{10} \\ 6x + 7 = 36 - 4x \\ 6( \frac{29}{10} ) + 7 = 36 - 4( \frac{29}{10} ) \\ \frac{87}{5} + 7 = 36 - \frac{58}{5} \\ \frac{122}{5} = \frac{122}{5}$

8.

$8x - 13 = 24 + 7x \\ 8x - 7x = 24 + 13 \\ x = 37 \\ 8x - 13 = 24 + 7x \\ 8(37) - 13 = 24 + 7(37) \\ 296 - 13 = 24 + 259 \\ 283 = 283$

9.

$3(x + 2) - 5(x + 3) = x + 5 \\ 3x + 6 - 5x - 15 = x + 5 \\ 3x - 5x - x = 5 - 6 + 15 \\ - 3x = 14 \\ x = - \frac{14}{3} \\ 3(x + 2) - (x + 3) = x + 5 \\ 3( - \frac{14}{3} + 2) - 5( - \frac{14}{3} + 3) = - \frac{14}{3} + 5 \\ 3( - \frac{8}{3} ) - 5( - \frac{5}{3} ) = \frac{1}{3} \\ - 8 - ( - \frac{25}{3} ) = \frac{1}{3} \\ - 8 + \frac{25}{3} = \frac{1}{3} \\ \frac{1}{3} = \frac{1}{3}$

10.

$7(x - 3) + 8(x - 5) = x - 4 \\ 7x - 21 + 8x - 40 = x - 4 \\ 7x + 8x - x = - 4 + 21 + 40 \\ 14x = 57 \\ x = \frac{57}{14} \\ 7(x - 3) + 8(x - 5) = x - 4 \\ 7( \frac{57}{14} - 3) + 8( \frac{57}{14 } - 5) = \frac{57}{14} - 4 \\ 7( \frac{15}{14} ) + 8( - \frac{13}{14} ) = \frac{1}{14} \\ \frac{15}{2} + ( - \frac{52}{7} ) = \frac{1}{14} \\ \frac{15}{2} - \frac{52}{7} = \frac{1}{14} \\ \frac{1}{14} = \frac{1}{14}$

espero te sirva mi aporte elije la mejor respuesta y califica gracias