Question

calcule as equações: a)x+2/2+x/4=1/4

b)x+3/3+x+1/4=1/2

c)2x+7/2+x/4=2/3​

Answer 1

Explicação passo-a-passo:

a)x+2/2+x/4=1/4

$x + 1 + \frac{x}{4} = \frac{1}{4} \\ x + \frac{4 + x}{4} = \frac{1}{4} \\ x + x = \frac{1}{4} \\ 2x = \frac{1}{4} \\ x = \frac{2}{4} = 0.5$

b)x+3/3+x+1/4=1/2

$x + 1 + x + 0.25 = 0.5 \\ 2x = 0.5 - 0.25 \\ 2x = \frac{1}{4} \\ x = \frac{2}{4} = 0.5$

c)2x+7/2+x/4=2/3

$2x + \frac{7}{2} + \frac{x}{4} = \frac{2}{3} \\ 2x + \frac{x}{4} = \frac{2}{3} - \frac{7}{2} \\ \frac{9x}{4} = - \frac{17}{6} \\6.9x = 68 \\ x = \frac{68}{54} \\ \times = \frac{34}{27} = 1.259...$