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Solve 11x + 1 = 111

The solution of 11x + 1 = 111 is x = 10.

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The lines y = 11x + 1 and y = 111 meet at x = 1046810121416406080100120140160180x = 10y = 11x + 1y = 111
The lines y = 11x + 1 and y = 111 meet at x = 10. 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=11111x + 1 = 111
  2. 2

    Subtract 1 from both sides:

    11x+1−1=111−1 ⇒ 11x=11011x + 1 - 1 = 111 - 1 \ \Rightarrow\ 11x = 110
  3. 3

    Divide both sides by 11:

    11x11=11011 ⇒ x=10\frac{11x}{11} = \frac{110}{11} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    11⋅10+1=110+1=111✓11\cdot10 + 1 = 110 + 1 = 111 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 1 = 111\ \Rightarrow\ x = 10 \]
\[ 11x + 1 = 111 \]
\[ 11x + 1 - 1 = 111 - 1 \ \Rightarrow\ 11x = 110 \]
\[ \frac{11x}{11} = \frac{110}{11} \ \Rightarrow\ x = 10 \]
\[ 11\cdot10 + 1 = 110 + 1 = 111 \checkmark \]

Trying values of x in 11x + 1 = 111

x11x + 1Equals 111?
889no
9100no
10111yes
11122no
12133no

Questions

What is x in 11x + 1 = 111?

The solution of 11x + 1 = 111 is x = 10.

How do you solve 11x + 1 = 111?

Subtract 1 from both sides to get 11x = 110, then divide both sides by 11 to get x = 10.

How do I check the answer?

Replace x by 10: 11(10) + 1 = 111, which is 111.

Similar equations

    Solve 11x + 1 = 111: x = 10 (steps and check) | WordGPT