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Solve 9x + 11 = 65

The solution of 9x + 11 = 65 is x = 6.

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The lines y = 9x + 11 and y = 65 meet at x = 62468101220406080100120x = 6y = 9x + 11y = 65
The lines y = 9x + 11 and y = 65 meet at x = 6. 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=659x + 11 = 65
  2. 2

    Subtract 11 from both sides:

    9x+11−11=65−11 ⇒ 9x=549x + 11 - 11 = 65 - 11 \ \Rightarrow\ 9x = 54
  3. 3

    Divide both sides by 9:

    9x9=549 ⇒ x=6\frac{9x}{9} = \frac{54}{9} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    9⋅6+11=54+11=65✓9\cdot6 + 11 = 54 + 11 = 65 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 11 = 65\ \Rightarrow\ x = 6 \]
\[ 9x + 11 = 65 \]
\[ 9x + 11 - 11 = 65 - 11 \ \Rightarrow\ 9x = 54 \]
\[ \frac{9x}{9} = \frac{54}{9} \ \Rightarrow\ x = 6 \]
\[ 9\cdot6 + 11 = 54 + 11 = 65 \checkmark \]

Trying values of x in 9x + 11 = 65

x9x + 11Equals 65?
447no
556no
665yes
774no
883no

Questions

What is x in 9x + 11 = 65?

The solution of 9x + 11 = 65 is x = 6.

How do you solve 9x + 11 = 65?

Subtract 11 from both sides to get 9x = 54, then divide both sides by 9 to get x = 6.

How do I check the answer?

Replace x by 6: 9(6) + 11 = 65, which is 65.

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    Solve 9x + 11 = 65: x = 6 (steps and check) | WordGPT