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2 years ago

If DE= 4x–1, EF= 9, and DF= 9x–22 , find the value of x

Mathematics

1 answer:

dybincka [34]2 years ago

6 0

Answer:

The correct answer is x = 6.

Step-by-step explanation:

To solve this problem, we first must recognize that DE + EF = DF.

From this information, we can set up the following equation when we substitute in the given values:

DE + EF = DF

(4x-1) + 9 = 9x - 22

Our first step is going to be to combine like terms on the left side of the equation. This is modeled below:

4x - 1 + 9 = 9x - 22

4x + 8 = 9x - 22

Then, we should subtract 4x from both sides of the equation.

8 = 5x - 22

Now, we can add 22 to both sides of the equation.

30 = 5x

Finally, we can divide both sides by 5.

x = 6

Therefore, the correct answer is x = 6.

Hope this helps!

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Step-by-step explanation:

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3 years ago

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vagabundo [1.1K]

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Step-by-step explanation:

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Read 2 more answers