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Solve 11x āˆ’ 9 = āˆ’9

The solution of 11x āˆ’ 9 = āˆ’9 is x = 0.

The lines y = 11x āˆ’ 9 and y = -9 meet at x = 0-6-4-2246-80-60-40-20204060x = 0y = 11x āˆ’ 9y = -9
The lines y = 11x āˆ’ 9 and y = -9 meet at x = 0. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.

    11xāˆ’9=āˆ’911x - 9 = -9
  2. 2

    Add 9 to both sides:

    11xāˆ’9+9=āˆ’9+9 ⇒ 11x=011x - 9 + 9 = -9 + 9 \ \Rightarrow\ 11x = 0
  3. 3

    Divide both sides by 11:

    11x11=011 ⇒ x=0\frac{11x}{11} = \frac{0}{11} \ \Rightarrow\ x = 0
  4. 4

    Check: put x = 0 back into the equation.

    11ā‹…0āˆ’9=0āˆ’9=āˆ’9āœ“11\cdot0 - 9 = 0 - 9 = -9 \checkmark
LaTeX source of the formulas on this page
\[ 11x - 9 = -9\ \Rightarrow\ x = 0 \]
\[ 11x - 9 = -9 \]
\[ 11x - 9 + 9 = -9 + 9 \ \Rightarrow\ 11x = 0 \]
\[ \frac{11x}{11} = \frac{0}{11} \ \Rightarrow\ x = 0 \]
\[ 11\cdot0 - 9 = 0 - 9 = -9 \checkmark \]

Trying values of x in 11x āˆ’ 9 = āˆ’9

x11x āˆ’ 9Equals -9?
-2-31no
-1-20no
0-9yes
12no
213no

Questions

What is x in 11x āˆ’ 9 = āˆ’9?

The solution of 11x āˆ’ 9 = āˆ’9 is x = 0.

How do you solve 11x āˆ’ 9 = āˆ’9?

Add 9 to both sides to get 11x = 0, then divide both sides by 11 to get x = 0.

How do I check the answer?

Replace x by 0: 11(0) āˆ’ 9 = -9, which is -9.

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    Solve 11x āˆ’ 9 = āˆ’9: x = 0 (steps and check) | WordGPT