Question

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Answer 1

Explicación paso a paso:

$\frac{x + 16}{6} + \frac{3 - x}{5} + \frac{22 - x}{2} = 10 \\ \\ \frac{5(x + 16) + 6(3 - x) + 15(22 - x)}{30} = 10 \\ \\ \frac{5x + 80 +18 - 6x + 330 - 15x}{30} = 10 \\ \\ \frac{ - 16x + 428}{30} = 10 \\ \\ - 16x + 428 = 10(30) \\ - 16x + 428 = 300 \\ - 16 x = 300 - 428 \\ - 16x = - 128 \\ x = \frac{ - 128}{ - 16} \\ x = 8$

$\sqrt{49 + \sqrt{x} } = 8 \\ 4 9 + \sqrt{x} = {(8)}^{2} \\ \sqrt{x} = 64 - 49 \\ \sqrt{x} = 15 \\ x = {(15)}^{2} \\ x = 225$

${(x + 2)}^{2} - {(x - 2)}^{2} = 16 \\ {x}^{2} + 4x + 4 - ({x}^{2} - 4x + 4) = 16 \\ {x}^{2} + 4x + 4 - {x}^{2} + 4x - 4 = 16 \\ 8x = 16 \\ x = \frac{16}{8} \\ x = 2$

$25x - (x + 12 - (3x - 1)) = 95 \\ 25x - (x + 12 - 3x + 1) = 95 \\ 25x - x - 12 + 3x - 1 = 95 \\ 27x = 95 + 13 \\ x = \frac{108}{27} \\ x = 4$