Verified answer

Resposta:

Explicação passo a passo:

a)  [tex]\frac{2x}{4} -\frac{x}{4} = \frac{2}{4}[/tex]         mmc = 4

   2x - x = 2

   x = 2

b)

    [tex]\frac{2x}{2} -\frac{x}{4} =5 \\ \\2x-x=5\\\\x=5[/tex]

[tex]c) \frac{2x}{10} +\frac{5x}{10} =\frac{7}{10} \\2x+5x=7\\7x=7\\x=7[/tex]

[tex]d) \frac{3x}{15} +\frac{10}{10} =\frac{10x}{10} \\3x-10x=-10\\-7x=-10\\\\x=\frac{7}{10}[/tex]

Explicação passo-a-passo:

[tex]a) \frac{x}{2} - \frac{x}{4} = \frac{1}{2} \: \: \: mmc = 4[/tex]

[tex]2x - x = 2 \\ x = 2[/tex]

[tex]b) \frac{x}{2} - \frac{x}{4} = 5 \: \: \: mmc = 4[/tex]

[tex]2x - x = 20 \\ x = 20[/tex]

[tex]c) \frac{x}{5} + \frac{x}{2} = \frac{7}{10 \: \:} mmc = 10[/tex]

[tex]2x + 5x = 7 \\ 7x = 7 \\ x = \frac{7}{7} [/tex]

[tex]x = 1[/tex]

[tex]d) \frac{x}{5} + 1 = \frac{2x}{3} \: \: \: mmc = 15[/tex]

[tex]3x + 15 = 10x \\ 3x - 10x = - 15 \\ - 7x = - 15 \: \: \: \times ( - 1) \\ 7x = 15 \\ x = \frac{15}{2} \: \: ou \: \: 2.5[/tex]