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3 years ago

Solve the absolute value equation. Check for extraneous solutions: |9x-3|=12

Mathematics

1 answer:

STatiana [176]3 years ago

5 0

ANSWER: x=5/3, -1. Good luck. Hope this suffices.

Explanation for x=-1: |9x-3|=12. Lets take the absolute value brackets away for a sec. Add 3 to both sides 9x-3+3=-12+3, simplify: 9x=-9, divide both sides by nine:9x/9=-9/9. And that means that x=-1.

Explanation for x=5/3: |9x-3|=12. Add 3. 9x-3+3=12+3. Simplify: 9x=15. Divide both sides by 9. 9x/9=15/9. Simplify: x=5/3

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<h3>hello!</h3>

=====================================================

Parallel lines have the same slope.

So if the given line has a slope of 3, then the line parallel to it has the same slope (3)

Now, let's write the equation of the line in Point-Slope Form.

Remember, point-slope form looks like so:-

$\bigstar{\underline{\boxed{\pmb{y-y1=m(x-x1)}}}$

Where

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In this case,

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and we're done!

=========================================================

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

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2 years ago

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adoni [48]

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3 years ago

​Solve the absolute value equation. Check for extraneous solutions: |9x-3|=12

Solve the absolute value equation. Check for extraneous solutions: |9x-3|=12