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Determine the value of y, if x is -7 . y=|x|+6 Answer:

Determine the value of y y , if x x is −7-7 .\newliney=∣x∣+6 y=|x|+6 \newlineAnswer:

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Evaluate absolute value expressionsright chevron icon

Full solution

Q. Determine the value of y y , if x x is −7-7 .\newliney=∣x∣+6 y=|x|+6 \newlineAnswer:
  1. Identify Absolute Value: Identify the absolute value operation in the equation.\newlineThe equation y=∣x∣+6y = |x| + 6 includes an absolute value operation, which means we take the non-negative value of xx, regardless of its actual sign.
  2. Substitute Value of xx: Substitute the value of xx into the equation.\newlineSince xx is given as −7-7, we substitute −7-7 for xx in the equation to get y=∣−7∣+6y = |-7| + 6.
  3. Calculate Absolute Value: Calculate the absolute value of xx. The absolute value of −7-7 is 77, so the equation becomes y=7+6y = 7 + 6.
  4. Add 66 to xx: Add 66 to the absolute value of xx.\newlineAdding 77 and 66 gives us y=13y = 13.

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