
2) 1,1 |x| + 4,9x = 27;


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It seems like you've provided an equation involving absolute value and a variable. The equation you've written is:
|1,1x| + 4,9x = 27
It appears there might be a formatting issue with the comma used as a decimal separator. In standard mathematical notation, a period (.) is typically used as the decimal separator. If we assume that the equation should be:
|1.1x| + 4.9x = 27
Then, I can guide you through solving this equation step by step:
Isolate the Absolute Value Expression: Begin by isolating the absolute value expression. To do this, you'll need to consider two cases: one where the argument of the absolute value is positive and another where it's negative.
Case 1: 1.1x is positive (1.1x > 0) If 1.1x is positive, the absolute value simplifies to 1.1x. So the equation becomes: 1.1x + 4.9x = 27
Case 2: 1.1x is negative (1.1x < 0) If 1.1x is negative, the absolute value simplifies to -(1.1x). So the equation becomes: -1.1x + 4.9x = 27
Combine Like Terms: In both cases, combine the like terms on the left side of the equation:
Case 1: 1.1x + 4.9x = 27 6x = 27
Case 2: -1.1x + 4.9x = 27 3.8x = 27
Solve for x: Divide both sides by the coefficient of x to solve for x:
Case 1: x = 27 / 6 x = 4.5
Case 2: x = 27 / 3.8 x ≈ 7.1053
So, the possible solutions for the equation |1.1x| + 4.9x = 27 are approximately x = 4.5 and x ≈ 7.1053.


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