WordGPT

Solve 11x + 1 = 166

The solution of 11x + 1 = 166 is x = 15.

Explain it step by step in chatMake a short video of it
The lines y = 11x + 1 and y = 166 meet at x = 15101214161820100120140160180200220240x = 15y = 11x + 1y = 166
The lines y = 11x + 1 and y = 166 meet at x = 15. 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=16611x + 1 = 166
  2. 2

    Subtract 1 from both sides:

    11x+1−1=166−1 ⇒ 11x=16511x + 1 - 1 = 166 - 1 \ \Rightarrow\ 11x = 165
  3. 3

    Divide both sides by 11:

    11x11=16511 ⇒ x=15\frac{11x}{11} = \frac{165}{11} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    11⋅15+1=165+1=166✓11\cdot15 + 1 = 165 + 1 = 166 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 1 = 166\ \Rightarrow\ x = 15 \]
\[ 11x + 1 = 166 \]
\[ 11x + 1 - 1 = 166 - 1 \ \Rightarrow\ 11x = 165 \]
\[ \frac{11x}{11} = \frac{165}{11} \ \Rightarrow\ x = 15 \]
\[ 11\cdot15 + 1 = 165 + 1 = 166 \checkmark \]

Trying values of x in 11x + 1 = 166

x11x + 1Equals 166?
13144no
14155no
15166yes
16177no
17188no

Questions

What is x in 11x + 1 = 166?

The solution of 11x + 1 = 166 is x = 15.

How do you solve 11x + 1 = 166?

Subtract 1 from both sides to get 11x = 165, then divide both sides by 11 to get x = 15.

How do I check the answer?

Replace x by 15: 11(15) + 1 = 166, which is 166.

Similar equations

    Solve 11x + 1 = 166: x = 15 (steps and check) | WordGPT