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Solve 11x + 1 = 199

The solution of 11x + 1 = 199 is x = 18.

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The lines y = 11x + 1 and y = 199 meet at x = 1812141618202224120140160180200220240260x = 18y = 11x + 1y = 199
The lines y = 11x + 1 and y = 199 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+1=19911x + 1 = 199
  2. 2

    Subtract 1 from both sides:

    11x+1−1=199−1 ⇒ 11x=19811x + 1 - 1 = 199 - 1 \ \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+1=198+1=199✓11\cdot18 + 1 = 198 + 1 = 199 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 1 = 199\ \Rightarrow\ x = 18 \]
\[ 11x + 1 = 199 \]
\[ 11x + 1 - 1 = 199 - 1 \ \Rightarrow\ 11x = 198 \]
\[ \frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18 \]
\[ 11\cdot18 + 1 = 198 + 1 = 199 \checkmark \]

Trying values of x in 11x + 1 = 199

x11x + 1Equals 199?
16177no
17188no
18199yes
19210no
20221no

Questions

What is x in 11x + 1 = 199?

The solution of 11x + 1 = 199 is x = 18.

How do you solve 11x + 1 = 199?

Subtract 1 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) + 1 = 199, which is 199.

Similar equations

    Solve 11x + 1 = 199: x = 18 (steps and check) | WordGPT