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

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:

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

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