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g100num [7]
2 years ago
7

Solve the following equation: 30= |- 4y + 2|

Mathematics
1 answer:
photoshop1234 [79]2 years ago
3 0

Suppose -4y+2\ge0. Then by definition of absolute value,

|-4y+2| = -4y+2 \implies 30 = -4y+2 \implies -4y = 28 \implies \boxed{y=-7}

On the other hand, suppose -4y+2. Then

|-4y+2| = -(-4y+2) \implies 30 = 4y - 2 \implies 4y = 32 \implies \boxed{y=8}

Recall the definition,

|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}

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