Question

|2x-5|+3=8 |3x+5|-2=0

Answer 1

Ответ:

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Пошаговое объяснение:

Answer 2

To solve the equations, we need to isolate the variable x. Let's solve each equation step by step:

Equation 1: |2x - 5| + 3 = 8

1. Subtract 3 from both sides: |2x - 5| = 5

Now, we have two cases to consider for the absolute value:

Case 1: 2x - 5 = 5 Add 5 to both sides: 2x = 10 Divide by 2: x = 5

Case 2: -(2x - 5) = 5 Distribute the negative sign: -2x + 5 = 5 Subtract 5 from both sides: -2x = 0 Divide by -2: x = 0

So, the solutions for Equation 1 are x = 5 and x = 0.

Equation 2: |3x + 5| - 2 = 0

1. Add 2 to both sides: |3x + 5| = 2

Again, we have two cases for the absolute value:

Case 1: 3x + 5 = 2 Subtract 5 from both sides: 3x = -3 Divide by 3: x = -1

Case 2: -(3x + 5) = 2 Distribute the negative sign: -3x - 5 = 2 Add 5 to both sides: -3x = 7 Divide by -3: x = -7/3

So, the solutions for Equation 2 are x = -1 and x = -7/3.

In summary, the solutions to the given system of equations are: Equation 1: x = 5 and x = 0 Equation 2: x = -1 and x = -7/3