How do you solve abs(2y+7)=7?

1 Answer
IDKwhatName
Jul 20, 2017

As the absolute value of 2y+7=7, then 2y+7=+-7, as abs(), takes the magnitude of the number, whether its positive or negative, abs(), makes it positive.

So, either 2y+7=7, or 2y+7=-7

Let's solve 2y+7=7 first:
We take 7 from both sides first- 2y+7-color(red)(7)=7-color(red)(7)-=2y=0

Then we divide both sides by 2 - (2y)/color(red)(2)=0/color(red)(2)-=y=0

Now, let's solve for 2y+7=-7:
We take 7 from both sides first- 2y+7-color(red)(7)=-7-color(red)(7)-=2y=-14

Then we divide both sides by 2 - (2y)/color(red)(2)=-14/color(red)(2)-=y=-7

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