Solve for all values of bb in simplest form.open vertical bar, b, plus, 18, close vertical bar, equals, 50∣b+18∣=50
Question
Solve for all values of in simplest form.
Solution
The equation given is |b + 18| = 50. This is an absolute value equation.
The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the equation |b + 18| = 50 has two possible solutions: b + 18 = 50 and b + 18 = -50.
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For the equation b + 18 = 50, you can solve for b by subtracting 18 from both sides of the equation:
b + 18 - 18 = 50 - 18 b = 32
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For the equation b + 18 = -50, you can solve for b by subtracting 18 from both sides of the equation:
b + 18 - 18 = -50 - 18 b = -68
So, the solutions to the equation |b + 18| = 50 are b = 32 and b = -68.
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