Question

13-2*|5-x|=4 9,8-|6-2x|=3,5

Answer 1

1) 13-2×(5-х)=4
13-10+2х=4
2х=4-13+10
2х=1|:2
х=0,5

13-2×(-5+х)=4
13+10-2х=4
-2х=4-13-10
-2х=-19|:(-2)
х=19/2
х=9,5

2) 9,8-(6-2х)=3,5
9,8-6+2х=3,5
2х=3,5-9,8+6
2х=-0,3|:2
х=-0,15

9,8-(-6+2х)=3,5
9,8+6-2х=3,5
-2х=3,5-9,8-6
-2х=-12,3|:(-2)
х=12,3/2
х=6,15

Answer 2

To solve the equations:

1. 13 - 2 * |5 - x| = 4

Let's consider two cases, depending on the expression inside the absolute value:

Case 1: (5 - x) ≥ 0

In this case, we can rewrite the equation without the absolute value:

13 - 2 * (5 - x) = 4

Simplifying:

13 - 10 + 2x = 4

2x + 3 = 4

2x = 1

x = 1/2

Case 2: (5 - x) < 0

In this case, we need to change the sign of the expression inside the absolute value:

13 - 2 * (x - 5) = 4

Simplifying:

13 - 2x + 10 = 4

-2x + 23 = 4

-2x = 4 - 23

-2x = -19

x = (-19)/(-2)

x = 19/2

Therefore, the solutions for the equation 13 - 2 * |5 - x| = 4 are x = 1/2 and x = 19/2.

2. 9.8 - |6 - 2x| = 3.5

Similarly, let's consider two cases based on the expression inside the absolute value:

Case 1: (6 - 2x) ≥ 0

9.8 - |6 - 2x| = 3.5

9.8 - (6 - 2x) = 3.5

9.8 - 6 + 2x = 3.5

2x + 3.3 = 3.5

2x = 3.5 - 3.3

2x = 0.2

x = 0.2/2

x = 0.1

Case 2: (6 - 2x) < 0

9.8 - |-(6 - 2x)| = 3.5

9.8 - (6 - 2x) = 3.5

9.8 - 6 + 2x = 3.5

2x + 3.3 = 3.5

2x = 3.5 - 3.3

2x = 0.2

x = 0.2/2

x = 0.1

Therefore, the solution for the equation 9.8 - |6 - 2x| = 3.5 is x = 0.1.