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Solve 11x + 13 = 211

The solution of 11x + 13 = 211 is x = 18.

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The lines y = 11x + 13 and y = 211 meet at x = 1812141618202224140160180200220240260280x = 18y = 11x + 13y = 211
The lines y = 11x + 13 and y = 211 meet at x = 18. 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+13=21111x + 13 = 211
  2. 2

    Subtract 13 from both sides:

    11x+13−13=211−13 ⇒ 11x=19811x + 13 - 13 = 211 - 13 \ \Rightarrow\ 11x = 198
  3. 3

    Divide both sides by 11:

    11x11=19811 ⇒ x=18\frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    11⋅18+13=198+13=211✓11\cdot18 + 13 = 198 + 13 = 211 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 13 = 211\ \Rightarrow\ x = 18 \]
\[ 11x + 13 = 211 \]
\[ 11x + 13 - 13 = 211 - 13 \ \Rightarrow\ 11x = 198 \]
\[ \frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18 \]
\[ 11\cdot18 + 13 = 198 + 13 = 211 \checkmark \]

Trying values of x in 11x + 13 = 211

x11x + 13Equals 211?
16189no
17200no
18211yes
19222no
20233no

Questions

What is x in 11x + 13 = 211?

The solution of 11x + 13 = 211 is x = 18.

How do you solve 11x + 13 = 211?

Subtract 13 from both sides to get 11x = 198, then divide both sides by 11 to get x = 18.

How do I check the answer?

Replace x by 18: 11(18) + 13 = 211, which is 211.

Similar equations

    Solve 11x + 13 = 211: x = 18 (steps and check) | WordGPT