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Solve 11x + 1 = 100

The solution of 11x + 1 = 100 is x = 9.

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The lines y = 11x + 1 and y = 100 meet at x = 9468101214406080100120140160x = 9y = 11x + 1y = 100
The lines y = 11x + 1 and y = 100 meet at x = 9. 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=10011x + 1 = 100
  2. 2

    Subtract 1 from both sides:

    11x+1−1=100−1 ⇒ 11x=9911x + 1 - 1 = 100 - 1 \ \Rightarrow\ 11x = 99
  3. 3

    Divide both sides by 11:

    11x11=9911 ⇒ x=9\frac{11x}{11} = \frac{99}{11} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    11⋅9+1=99+1=100✓11\cdot9 + 1 = 99 + 1 = 100 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 1 = 100\ \Rightarrow\ x = 9 \]
\[ 11x + 1 = 100 \]
\[ 11x + 1 - 1 = 100 - 1 \ \Rightarrow\ 11x = 99 \]
\[ \frac{11x}{11} = \frac{99}{11} \ \Rightarrow\ x = 9 \]
\[ 11\cdot9 + 1 = 99 + 1 = 100 \checkmark \]

Trying values of x in 11x + 1 = 100

x11x + 1Equals 100?
778no
889no
9100yes
10111no
11122no

Questions

What is x in 11x + 1 = 100?

The solution of 11x + 1 = 100 is x = 9.

How do you solve 11x + 1 = 100?

Subtract 1 from both sides to get 11x = 99, then divide both sides by 11 to get x = 9.

How do I check the answer?

Replace x by 9: 11(9) + 1 = 100, which is 100.

Similar equations

    Solve 11x + 1 = 100: x = 9 (steps and check) | WordGPT