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Solve 11x + 9 = 31

The solution of 11x + 9 = 31 is x = 2.

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The lines y = 11x + 9 and y = 31 meet at x = 2-4-22468-40-2020406080100x = 2y = 11x + 9y = 31
The lines y = 11x + 9 and y = 31 meet at x = 2. 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.

    11x+9=3111x + 9 = 31
  2. 2

    Subtract 9 from both sides:

    11x+9−9=31−9 ⇒ 11x=2211x + 9 - 9 = 31 - 9 \ \Rightarrow\ 11x = 22
  3. 3

    Divide both sides by 11:

    11x11=2211 ⇒ x=2\frac{11x}{11} = \frac{22}{11} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    11⋅2+9=22+9=31✓11\cdot2 + 9 = 22 + 9 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 9 = 31\ \Rightarrow\ x = 2 \]
\[ 11x + 9 = 31 \]
\[ 11x + 9 - 9 = 31 - 9 \ \Rightarrow\ 11x = 22 \]
\[ \frac{11x}{11} = \frac{22}{11} \ \Rightarrow\ x = 2 \]
\[ 11\cdot2 + 9 = 22 + 9 = 31 \checkmark \]

Trying values of x in 11x + 9 = 31

x11x + 9Equals 31?
09no
120no
231yes
342no
453no

Questions

What is x in 11x + 9 = 31?

The solution of 11x + 9 = 31 is x = 2.

How do you solve 11x + 9 = 31?

Subtract 9 from both sides to get 11x = 22, then divide both sides by 11 to get x = 2.

How do I check the answer?

Replace x by 2: 11(2) + 9 = 31, which is 31.

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    Solve 11x + 9 = 31: x = 2 (steps and check) | WordGPT