Question

|x+3.5|=7,3 |3x+9|=-6

Answer 1

|x+3.5|=7,3

х+3.5=7,3, х=3,8 и

х+3.5=-7,3, х=-10,8.

|3x+9|=-6<0,

Нет корней.

Answer 2

To solve the equations |x + 3.5| = 7.3 and |3x + 9| = -6, we need to consider two cases for each equation because the absolute value of a number is always non-negative.

Let's start with the first equation:

1. |x + 3.5| = 7.3

Case 1: x + 3.5 = 7.3 x = 7.3 - 3.5 x = 3.8

Case 2: -(x + 3.5) = 7.3 -x - 3.5 = 7.3 -x = 7.3 + 3.5 -x = 10.8

Now, multiply both sides by -1 to solve for x: x = -10.8

So, the solutions for the first equation are x = 3.8 and x = -10.8.

Now, let's move on to the second equation:

2. |3x + 9| = -6

Since the absolute value of a number is always non-negative, there are no real solutions to this equation. In other words, there is no value of x that can make the absolute value of (3x + 9) equal to a negative number like -6.

Therefore, the second equation |3x + 9| = -6 has no real solutions.

So, the solutions for the system of equations are x = 3.8 and x = -10.8 for the first equation, and there are no real solutions for the second equation.