Question

9|х|-6=0 |3х + 8|=0 4,1-|х|=5 8/х = 6/5

Answer 1

Пошаговое объяснение:

|х|=2/3

х=+-2/3

3х=-8

х=-8/3

|х|=-0,9 - не имеет смысла, т. к. модуль всегда положительный

8/х=6/5

6х=40

х=20/3=6 2/3

Answer 2

It looks like you've written a system of equations and expressions involving variables (x). Let's go through each one and solve for x.

1. 9|x| - 6 = 0: Add 6 to both sides: $9|x| = 6$

   Divide by 9: $|x| = \frac{6}{9} = \frac{2}{3}$

   x can be positive or negative, so: $x = \pm\frac{2}{3}$

2. |3x + 8| = 0: Absolute value can never be negative, so the only solution is when the expression inside the absolute value is 0: $3x + 8 = 0$

   Solve for x: $3x = -8$ $x = -\frac{8}{3}$

3. 4.1 - |x| = 5: Subtract 4.1 from both sides: $-|x| = 5 - 4.1$

   $|x| = 0.9$

   x can be positive or negative, so: $x = \pm0.9$

4. $\frac{8}{x} = \frac{6}{5}$: Cross-multiply: $8 \times 5 = 6 \times x$

   Solve for x: $x = \frac{8 \times 5}{6} = \frac{40}{6} = \frac{20}{3}$

So the solutions for the given equations and expressions are:

$x = \pm\frac{2}{3}, -\frac{8}{3}, \pm0.9, \frac{20}{3}$