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Solve 9x + 11 = 92

The solution of 9x + 11 = 92 is x = 9.

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The lines y = 9x + 11 and y = 92 meet at x = 9468101214406080100120140x = 9y = 9x + 11y = 92
The lines y = 9x + 11 and y = 92 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+11=929x + 11 = 92
  2. 2

    Subtract 11 from both sides:

    9x+11−11=92−11 ⇒ 9x=819x + 11 - 11 = 92 - 11 \ \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+11=81+11=92✓9\cdot9 + 11 = 81 + 11 = 92 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 11 = 92\ \Rightarrow\ x = 9 \]
\[ 9x + 11 = 92 \]
\[ 9x + 11 - 11 = 92 - 11 \ \Rightarrow\ 9x = 81 \]
\[ \frac{9x}{9} = \frac{81}{9} \ \Rightarrow\ x = 9 \]
\[ 9\cdot9 + 11 = 81 + 11 = 92 \checkmark \]

Trying values of x in 9x + 11 = 92

x9x + 11Equals 92?
774no
883no
992yes
10101no
11110no

Questions

What is x in 9x + 11 = 92?

The solution of 9x + 11 = 92 is x = 9.

How do you solve 9x + 11 = 92?

Subtract 11 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) + 11 = 92, which is 92.

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    Solve 9x + 11 = 92: x = 9 (steps and check) | WordGPT