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Solve 10x āˆ’ 11 = 69

The solution of 10x āˆ’ 11 = 69 is x = 8.

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The lines y = 10x āˆ’ 11 and y = 69 meet at x = 8246810121420406080100120140x = 8y = 10x āˆ’ 11y = 69
The lines y = 10x āˆ’ 11 and y = 69 meet at x = 8. 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.

    10xāˆ’11=6910x - 11 = 69
  2. 2

    Add 11 to both sides:

    10xāˆ’11+11=69+11Ā ā‡’Ā 10x=8010x - 11 + 11 = 69 + 11 \ \Rightarrow\ 10x = 80
  3. 3

    Divide both sides by 10:

    10x10=8010Ā ā‡’Ā x=8\frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    10ā‹…8āˆ’11=80āˆ’11=69āœ“10\cdot8 - 11 = 80 - 11 = 69 \checkmark
LaTeX source of the formulas on this page
\[ 10x - 11 = 69\ \Rightarrow\ x = 8 \]
\[ 10x - 11 = 69 \]
\[ 10x - 11 + 11 = 69 + 11 \ \Rightarrow\ 10x = 80 \]
\[ \frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8 \]
\[ 10\cdot8 - 11 = 80 - 11 = 69 \checkmark \]

Trying values of x in 10x āˆ’ 11 = 69

x10x āˆ’ 11Equals 69?
649no
759no
869yes
979no
1089no

Questions

What is x in 10x āˆ’ 11 = 69?

The solution of 10x āˆ’ 11 = 69 is x = 8.

How do you solve 10x āˆ’ 11 = 69?

Add 11 to both sides to get 10x = 80, then divide both sides by 10 to get x = 8.

How do I check the answer?

Replace x by 8: 10(8) āˆ’ 11 = 69, which is 69.

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