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Solve 11x + 1 = 210

The solution of 11x + 1 = 210 is x = 19.

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The lines y = 11x + 1 and y = 210 meet at x = 19141618202224140160180200220240260280x = 19y = 11x + 1y = 210
The lines y = 11x + 1 and y = 210 meet at x = 19. 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=21011x + 1 = 210
  2. 2

    Subtract 1 from both sides:

    11x+1−1=210−1 ⇒ 11x=20911x + 1 - 1 = 210 - 1 \ \Rightarrow\ 11x = 209
  3. 3

    Divide both sides by 11:

    11x11=20911 ⇒ x=19\frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    11⋅19+1=209+1=210✓11\cdot19 + 1 = 209 + 1 = 210 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 1 = 210\ \Rightarrow\ x = 19 \]
\[ 11x + 1 = 210 \]
\[ 11x + 1 - 1 = 210 - 1 \ \Rightarrow\ 11x = 209 \]
\[ \frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19 \]
\[ 11\cdot19 + 1 = 209 + 1 = 210 \checkmark \]

Trying values of x in 11x + 1 = 210

x11x + 1Equals 210?
17188no
18199no
19210yes
20221no
21232no

Questions

What is x in 11x + 1 = 210?

The solution of 11x + 1 = 210 is x = 19.

How do you solve 11x + 1 = 210?

Subtract 1 from both sides to get 11x = 209, then divide both sides by 11 to get x = 19.

How do I check the answer?

Replace x by 19: 11(19) + 1 = 210, which is 210.

Similar equations

    Solve 11x + 1 = 210: x = 19 (steps and check) | WordGPT