Question

1) efetue as equações:
a) $\frac{ 2x+4}{2} = \frac{x-3}{4}$
b) $\frac{ 3x-5}{2} = \frac{x+10}{3}$
c) $3 (x +3) = 2(x + 8)$
d) $5 (x + 3) = 2 (x + 8)$

Answer 1

2x + 4  = x - 3
   2             4

4(2x + 4) = 2(x - 3)
8x + 16 = 2x - 6
8x - 2x = - 6 - 16
6x = - 22
x =  - 22  (:2)  =  - 11
          6  (:2)         3
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b)
3x - 5 = x + 10
   2           3

3(3x - 5) = 2(x + 10)
9x - 15 = 2x + 20
9x - 2x = 20 + 15
7x = 35
x = 35/7
x = 5
====================
c)
3(x + 3) = 2(x + 8)
3x + 9 = 2x + 16
3x - 2x = 16 - 9
x = 7
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d)
5(x + 3) = 2(x + 8)
5x + 15 = 2x + 16
5x - 2x = 16 - 15
3x = 1
x = 1/3