Question

| 5x + 7 | — 19 = —3

Answer 1

Ответ:

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Answer 2

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Answer 3

To solve the equation |5x + 7| - 19 = -3, we'll need to break it down into two separate cases based on the absolute value.

Case 1: 5x + 7 is positive or zero (5x + 7 ≥ 0): For this case, the absolute value becomes unnecessary, and we can rewrite the equation as 5x + 7 - 19 = -3.

Simplifying: 5x + 7 - 19 = -3 5x - 12 = -3

Now, isolate the variable: 5x = -3 + 12 5x = 9 x = 9/5 x = 1.8

Case 2: 5x + 7 is negative (5x + 7 < 0): In this case, we must negate the absolute value expression, resulting in -5x - 7 - 19 = -3.

Simplifying: -5x - 7 - 19 = -3 -5x - 26 = -3

Now, isolate the variable: -5x = -3 + 26 -5x = 23 x = 23/-5 x = -4.6

Therefore, the solution to the equation |5x + 7| - 19 = -3 is x = 1.8 or x = -4.6.