Question

Resolva as equações literais ( x é a incógnita)

A) ( x- 4a)/2 = (4a - x)/3

B) x/2 - a/2 = x/3 + a

Answer 1

a)
$\frac{x-4a}{2} = \frac{4a-x}{3} \\ \\ 3(x-4a)=2.(4a-x) \\ 3x-12a=8a-2x \\ 3x+2x=8a+12a \\ 5x=20a \\ x=20a\div5 \\ x=4a$

b)
$\frac{x}{2} - \frac{a}{2} = \frac{x}{3} +a \\ \\ mmc(2,3)=6 \\ \\ 3x-3a=2x+6a \\ 3x-2x=6a+3a \\ x=9a$