Question

la ecuación de 12-6(2×-4)=8+2(5×-1)​

Answer 1

Hola!

Respuesta:

x = 15\11

Explicación paso a paso:

₪) Resolvemos la ecuación:

$12 - 6(2x - 4) = 8 + 2(5x - 1) \\ 12 - 12x + 24 = 8 + 10x - 2 \\ 36 - 12x = 6 + 10x \\ 36 - 6 = 10x + 12x \\ 30 = 22x \\ 15 = 11x \\ x = \frac{15}{11}$

₪) Comprobación:

$12 - 6(2x - 4) = 8 + 2(5x - 1) \\ \\ si : \: x = \frac{15}{11} \\ \\ 12 - 6(2( \frac{15}{11} - 4) = 8 + 2(5( \frac{15}{11} ) - 1) \\ 12 - 6( \frac{30}{11} - 4) = 8 + 2( \frac{75}{11} - 1) \\ 12 - \frac{180}{11} + 24 = 8 + \frac{150}{11} - 2 \\ 36 - \frac{180}{11} = 6 + \frac{150}{11} \\ 6 - \frac{30}{11} = 1 + \frac{25}{11} \\ \frac{36}{11} = \frac{36}{11} \\ 1 = 1$

Answer 2

Explicación paso a paso:

$12 - 6(2x - 4) = 8 + 2(5x - 1) \\ 12 - 12x + 24 = 8 + 10x - 2 \\ 36 - 12x = 6 + 10x \\ - 12x - 10x = 6 - 36 \\ - 22x = - 30 \\ \\ x = \frac{30}{22} \\ \\ x = \frac{15}{11} \\ \\ comprobacion \\ 12 - 6(2 \times \frac{15}{11} - 4) = 8 + 2(5 \times \frac{15}{11} - 1) \\ \\ 12 - 6( \frac{30}{11} - 4) = 8 + 2( \frac{75}{11} - 1) \\ \\ 12 - 6( \frac{30 - 44}{11} )= 8 + 2( \frac{75 - 11}{11} ) \\ \\ 12 - 6( - \frac{14}{11} )= 8 + 2( \frac{64}{11} )\\ \\ 12 + \frac{84}{11} = 8 + \frac{128}{11} \\ \\ \frac{132 + 84}{11} = \frac{88 + 128}{11} \\ \\ \frac{216}{11} = \frac{216}{11}$