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Solve 11x + 1 = 221

The solution of 11x + 1 = 221 is x = 20.

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The lines y = 11x + 1 and y = 221 meet at x = 2014161820222426160180200220240260280300x = 20y = 11x + 1y = 221
The lines y = 11x + 1 and y = 221 meet at x = 20. 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+1=22111x + 1 = 221
  2. 2

    Subtract 1 from both sides:

    11x+1−1=221−1 ⇒ 11x=22011x + 1 - 1 = 221 - 1 \ \Rightarrow\ 11x = 220
  3. 3

    Divide both sides by 11:

    11x11=22011 ⇒ x=20\frac{11x}{11} = \frac{220}{11} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    11⋅20+1=220+1=221✓11\cdot20 + 1 = 220 + 1 = 221 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 1 = 221\ \Rightarrow\ x = 20 \]
\[ 11x + 1 = 221 \]
\[ 11x + 1 - 1 = 221 - 1 \ \Rightarrow\ 11x = 220 \]
\[ \frac{11x}{11} = \frac{220}{11} \ \Rightarrow\ x = 20 \]
\[ 11\cdot20 + 1 = 220 + 1 = 221 \checkmark \]

Trying values of x in 11x + 1 = 221

x11x + 1Equals 221?
18199no
19210no
20221yes
21232no
22243no

Questions

What is x in 11x + 1 = 221?

The solution of 11x + 1 = 221 is x = 20.

How do you solve 11x + 1 = 221?

Subtract 1 from both sides to get 11x = 220, then divide both sides by 11 to get x = 20.

How do I check the answer?

Replace x by 20: 11(20) + 1 = 221, which is 221.

Similar equations

    Solve 11x + 1 = 221: x = 20 (steps and check) | WordGPT