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Solve 11x āˆ’ 11 = 0

The solution of 11x āˆ’ 11 = 0 is x = 1.

The lines y = 11x āˆ’ 11 and y = 0 meet at x = 1-4-2246-60-40-20204060x = 1y = 11x āˆ’ 11y = 0
The lines y = 11x āˆ’ 11 and y = 0 meet at x = 1. 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’11=011x - 11 = 0
  2. 2

    Add 11 to both sides:

    11xāˆ’11+11=0+11 ⇒ 11x=1111x - 11 + 11 = 0 + 11 \ \Rightarrow\ 11x = 11
  3. 3

    Divide both sides by 11:

    11x11=1111 ⇒ x=1\frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    11ā‹…1āˆ’11=11āˆ’11=0āœ“11\cdot1 - 11 = 11 - 11 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 11x - 11 = 0\ \Rightarrow\ x = 1 \]
\[ 11x - 11 = 0 \]
\[ 11x - 11 + 11 = 0 + 11 \ \Rightarrow\ 11x = 11 \]
\[ \frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1 \]
\[ 11\cdot1 - 11 = 11 - 11 = 0 \checkmark \]

Trying values of x in 11x āˆ’ 11 = 0

x11x āˆ’ 11Equals 0?
-1-22no
0-11no
10yes
211no
322no

Questions

What is x in 11x āˆ’ 11 = 0?

The solution of 11x āˆ’ 11 = 0 is x = 1.

How do you solve 11x āˆ’ 11 = 0?

Add 11 to both sides to get 11x = 11, then divide both sides by 11 to get x = 1.

How do I check the answer?

Replace x by 1: 11(1) āˆ’ 11 = 0, which is 0.

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