Question

2 x – 3= 18 b) 5|2x – 5= -10.​

Answer 1

2х-3=18.
2х=18+3
2х=21
х=21/2.

b)5|2x-5|=-10
|2x-5|=-10-5
|2x-5|=-15
2x=-15+5
2x=-10
x=-10:2
x=-5


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Answer 2

To solve the equations, let's work through them one by one:

a) 2x - 3 = 18

To solve for x, we'll isolate the variable x by performing inverse operations. Here's how:

Adding 3 to both sides of the equation: 2x - 3 + 3 = 18 + 3 2x = 21

Dividing both sides of the equation by 2: (2x)/2 = 21/2 x = 10.5

Therefore, the solution to the equation 2x - 3 = 18 is x = 10.5.

b) 5|2x - 5 = -10

To solve this equation, we need to remove the absolute value. There are two possibilities:

1. 2x - 5 = -10

Adding 5 to both sides of the equation: 2x - 5 + 5 = -10 + 5 2x = -5

Dividing both sides of the equation by 2: (2x)/2 = -5/2 x = -2.5

Therefore, one possible solution to the equation 5|2x - 5 = -10 is x = -2.5.

2. -(2x - 5) = -10

Distributing the negative sign: -2x + 5 = -10

Subtracting 5 from both sides of the equation: -2x + 5 - 5 = -10 - 5 -2x = -15

Dividing both sides of the equation by -2: (-2x)/(-2) = -15/(-2) x = 7.5

Therefore, another possible solution to the equation 5|2x - 5 = -10 is x = 7.5.

In summary, the equation 5|2x - 5 = -10 has two solutions: x = -2.5 and x = 7.5.