Question

|3x-7|=19.............​

Answer 1

Ответ:

Пошаговое объяснение:

|3x-7|=19

3х -7 = 19     3х- 7 = -19

3х= 19 + 7     3х = - 19+ 7

3х= 26          3х= -12

х= 26 : 3        х= - 12 : 3

х1= 8 2/3        х2= -4

Answer 2

3х-7=19 на модуль пока что не обращаем внимания
3х=19-7
3х=12
Х=12÷3
Х=4

Answer 3

To solve the equation |3x - 7| = 19, we need to consider two cases, one where the expression inside the absolute value is positive and one where it is negative. Let's solve it step by step:

Case 1: (3x - 7) is positive If 3x - 7 is positive, we can remove the absolute value bars without changing the equation. Therefore, we have: 3x - 7 = 19

Now, let's solve for x: 3x = 19 + 7 3x = 26 x = 26/3

So in this case, x = 26/3.

Case 2: (3x - 7) is negative If 3x - 7 is negative, we need to change the sign of the expression inside the absolute value and solve the resulting equation. Therefore, we have: -(3x - 7) = 19

Now, let's solve for x: -3x + 7 = 19 -3x = 19 - 7 -3x = 12 x = 12/(-3) x = -4

So in this case, x = -4.

Therefore, the two possible solutions for the equation |3x - 7| = 19 are x = 26/3 and x = -4.