Question

ІІхІ -3І = 7 Іх-2І = 5

Answer 1

Ответ:1)+-10 2)-3 или 7

Пошаговое объяснение:

1)//X/-3/=7

/X/-3=7 или /x/-3=-7

/x/=10   или /x/=-4

x=+-10 или /x/=-4 корней нет,так как модуль отрицательный

2)/x-2/=5

x-2=-5 или x-2=5

x=-3 или x=7

Answer 2

To solve the given system of equations:

Equation 1: |2x - 3| = 7 Equation 2: |x - 2| = 5

We can solve each equation separately by considering both the positive and negative cases for the absolute value expression.

For Equation 1: Case 1: 2x - 3 = 7 Solving for x: 2x = 7 + 3 2x = 10 x = 10 / 2 x = 5

Case 2: -(2x - 3) = 7 Solving for x: -2x + 3 = 7 -2x = 7 - 3 -2x = 4 x = 4 / -2 x = -2

So, in Equation 1, we have two solutions: x = 5 and x = -2.

For Equation 2: Case 1: x - 2 = 5 Solving for x: x = 5 + 2 x = 7

Case 2: -(x - 2) = 5 Solving for x: -x + 2 = 5 -x = 5 - 2 -x = 3 x = 3 / -1 x = -3

In Equation 2, we have two solutions: x = 7 and x = -3.

Therefore, the solutions to the given system of equations are: x = 5, x = -2, x = 7, and x = -3.