Question

Resolve las ecuaciones y verificá el resultado
a) x + 7×3- 13 = 504: 2^(2)
b) (x +12): 8 =216
c) 23+ 4x +15 = 5^(3)+ 3^(0)
d) x: 6 -39 =375
e) 15. (x- 7) + 3^(3)- 11= Raiz cuadrada de 144 + 7^(2)
f) (12 +2x) .8= 2^(7)

Answer 1

$a)x + 7(3) - 13 = 504 \div {2}^{2} \\ x + 21 - 13 = 504 \div 4 \\ x + 8 = 126 \\ x = 118$
$b)(x + 12) \div 8 = 216 \\ x + 12 = 1728 \\ x = 1716$
$c)23 + 4x + 15 = {5}^{3} + {3}^{0} \\ 38 + 4x = 125 + 1 \\ 38 + 4x = 126 \\ 4x = 88$
$d) \frac{x}{6} - 39 = 375 \\ \frac{x}{6} = 414 \\ x = 2484$
$e) \\ 15(x - 7) + {3}^{3} - 11 = \sqrt{144} + {7}^{2} \\ 15(x - 7) + 9 - 11 = 12 + 49 \\ 15(x - 7) - 2 = 61 \\ 15(x - 7) = 63 \\ 15x - 105 = 63 \\ 15x = 168 \\ x = \frac{168}{15} = \frac{56}{5 } = 11.2$
$f)(12 + 2x) \times 8 = {2}^{7} \\ \\ (12 + 2x) \times {2}^{3} = {2}^{7} \\ 12 + 2x = \frac{ {2}^{7} }{ {2}^{3} } \\ 12 + 2x = {2}^{7 - 3} \\ 12 - 2x = {2}^{4} \\ 12 - 2x = 16 \\ 12 - 16 = 2x \\ - 4 = 2x \\ - 2 = x$