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2 years ago

What is the solution to 3-3x + 9| = -18?

Mathematics

1 answer:

solmaris [256]2 years ago

8 0

Answer:

x = 5 or x = 1

Step-by-step explanation:

Absolute Value Equation entered :

3|3x-9|=18

Step by step solution :

Step 1: Rearrange this Absolute Value Equation

Absolute value equalitiy entered

3|3x-9| = 18

Step 2: Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|3x-9|

For the Negative case we'll use -3(3x-9)

For the Positive case we'll use 3(3x-9)

Step 3: Solve the Negative Case

-3(3x-9) = 18

Multiply

-9x+27 = 18

Rearrange and Add up

-9x = -9

Divide both sides by 9

-x = -1

Multiply both sides by (-1)

x = 1

Which is the solution for the Negative Case

Step 4: Solve the Positive Case

(3x-9) = 18

Multiply

9x-27 = 18

Rearrange and Add up

9x = 45

Divide both sides by 9

x = 5

Which is the solution for the Positive Case

Step 5: Wrap up the solution

x=1

x=5

Solutions on the Number Line

Two solutions were found :

x=5

x=1

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3 years ago

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jeyben [28]

Answer:

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Step-by-step explanation:

I find it helpful to remember that the cosine is positive in the right half-plane, and the sine is positive in the top half-plane. Knowing the relationship between sine and cosine and all the other trig functions, you can figure their signs in the various quadrants.

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