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Solve 10x + 1 = 81

The solution of 10x + 1 = 81 is x = 8.

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The lines y = 10x + 1 and y = 81 meet at x = 8246810121420406080100120140x = 8y = 10x + 1y = 81
The lines y = 10x + 1 and y = 81 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 addition, then the multiplication.

    10x+1=8110x + 1 = 81
  2. 2

    Subtract 1 from both sides:

    10x+1−1=81−1 ⇒ 10x=8010x + 1 - 1 = 81 - 1 \ \Rightarrow\ 10x = 80
  3. 3

    Divide both sides by 10:

    10x10=8010 ⇒ x=8\frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    10⋅8+1=80+1=81✓10\cdot8 + 1 = 80 + 1 = 81 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 1 = 81\ \Rightarrow\ x = 8 \]
\[ 10x + 1 = 81 \]
\[ 10x + 1 - 1 = 81 - 1 \ \Rightarrow\ 10x = 80 \]
\[ \frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8 \]
\[ 10\cdot8 + 1 = 80 + 1 = 81 \checkmark \]

Trying values of x in 10x + 1 = 81

x10x + 1Equals 81?
661no
771no
881yes
991no
10101no

Questions

What is x in 10x + 1 = 81?

The solution of 10x + 1 = 81 is x = 8.

How do you solve 10x + 1 = 81?

Subtract 1 from 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) + 1 = 81, which is 81.

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    Solve 10x + 1 = 81: x = 8 (steps and check) | WordGPT