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 2 years ago
Please explain how to solve one absolute value equation by writing it as two equations.
 2 years ago
Please explain how to solve one absolute value equation by writing it as two equations.

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LogicalApple
 2 years ago
Best ResponseYou've already chosen the best response.1Well we know that an absolute value will always return an answer that is nonnegative. x = x if x >= 0, x if x < 0 For example, y = 5x  3. If 5x  3 >= 0 then 5x >= 3, and x >= 3/5. So whenever x >= 3/5, then y = 5x  3. Otherwise y = (5x 3). You can solve these by setting up two equations. One equation equal to whatever is inside the absolute value function. And another equation equal to the negative of that. If y = 5x  3 then y = 5x  3 or y = 5x + 3. A working example: 3x  5 = 7 This means 3x  5 = 7 or (3x  5) = 7 Solve each equation separately. 3x  5 = 7 3x = 12 x = 4 (3x  5) = 7 3x  5 = 7 3x = 2 x = 2/3 x = 4 or 2/3
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