Question

Resolva as seguintes equações literais na incógnita x.

A) 4x - m = 7m
B) 5x - b = 8
C) 3x + 4c = 6c
D) 4x - m = -x + n

Answer 1

Olá

a.

$\sf 4x - m = 7m \\ \sf4x = 7m + m \\ \sf4x = 8m \\ \sf x = \frac{8m}{4} \\ \sf x = 2m$

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b.

$\sf 5x - b = 8 \\ \\ \sf5x = 8 + b \\ \\ \sf \frac{5x}{5} = \frac{(8 + b)}{5} \\ \\ \sf x = \frac{(8 + b)}{5} \\ \\ \sf x = \frac{8}{5} + \frac{b}{5} \\ \\ \sf \: x = \frac{8}{5} + \frac{1}{5} b \\ \\ \sf x = \frac{1}{5} b + \frac{8}{5}$

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c.

$\sf3x + 4c = 6c \\ \sf3x = 6c - 4c \\ \sf3x = 2c \\ \sf x = \frac{2}{3} c$

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d.

$\sf4x - m = - x + n \\ \sf 4x - m + x = n \\ \sf 4x + x = n + m \\ \sf 5x = n + m \\ \sf x = \frac{1}{5} m + \frac{1}{5} n$