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Solve 9x + 1 = 82

The solution of 9x + 1 = 82 is x = 9.

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The lines y = 9x + 1 and y = 82 meet at x = 946810121420406080100120140x = 9y = 9x + 1y = 82
The lines y = 9x + 1 and y = 82 meet at x = 9. 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.

    9x+1=829x + 1 = 82
  2. 2

    Subtract 1 from both sides:

    9x+1−1=82−1 ⇒ 9x=819x + 1 - 1 = 82 - 1 \ \Rightarrow\ 9x = 81
  3. 3

    Divide both sides by 9:

    9x9=819 ⇒ x=9\frac{9x}{9} = \frac{81}{9} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    9⋅9+1=81+1=82✓9\cdot9 + 1 = 81 + 1 = 82 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 1 = 82\ \Rightarrow\ x = 9 \]
\[ 9x + 1 = 82 \]
\[ 9x + 1 - 1 = 82 - 1 \ \Rightarrow\ 9x = 81 \]
\[ \frac{9x}{9} = \frac{81}{9} \ \Rightarrow\ x = 9 \]
\[ 9\cdot9 + 1 = 81 + 1 = 82 \checkmark \]

Trying values of x in 9x + 1 = 82

x9x + 1Equals 82?
764no
873no
982yes
1091no
11100no

Questions

What is x in 9x + 1 = 82?

The solution of 9x + 1 = 82 is x = 9.

How do you solve 9x + 1 = 82?

Subtract 1 from both sides to get 9x = 81, then divide both sides by 9 to get x = 9.

How do I check the answer?

Replace x by 9: 9(9) + 1 = 82, which is 82.

Similar equations

    Solve 9x + 1 = 82: x = 9 (steps and check) | WordGPT