Question

Решите уравнение.


1) (x + 3) : (x - 2) = 5 : 3

2) 4 : (2x + 5) = 2 : (3x - 2)

Answer 1

Ответ:

1) 3(x + 3)= 5(x - 2)

3x+9=5x-10

2x=19

x=9.5

2) 2(2x + 5) = 4 (3x - 2)

4x+10=12x-8

8x=18

x=2.25

Answer 2

Решение:

$\frac{x + 3}{x - 2} = \frac{5}{3} \\ x\ne2 \\ 5x - 10 = 3x + 9 \\ 2x = 19 \\ x = 9.5 \\ \\ \frac{4}{2x + 5} = \frac{2}{3x - 2} \\ 2x + 5 = 6x - 4 \\ 4x = 9 \\ x = 2.25$