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Solve 11x + 13 = 222

The solution of 11x + 13 = 222 is x = 19.

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The lines y = 11x + 13 and y = 222 meet at x = 19141618202224160180200220240260280300x = 19y = 11x + 13y = 222
The lines y = 11x + 13 and y = 222 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+13=22211x + 13 = 222
  2. 2

    Subtract 13 from both sides:

    11x+13−13=222−13 ⇒ 11x=20911x + 13 - 13 = 222 - 13 \ \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+13=209+13=222✓11\cdot19 + 13 = 209 + 13 = 222 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 13 = 222\ \Rightarrow\ x = 19 \]
\[ 11x + 13 = 222 \]
\[ 11x + 13 - 13 = 222 - 13 \ \Rightarrow\ 11x = 209 \]
\[ \frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19 \]
\[ 11\cdot19 + 13 = 209 + 13 = 222 \checkmark \]

Trying values of x in 11x + 13 = 222

x11x + 13Equals 222?
17200no
18211no
19222yes
20233no
21244no

Questions

What is x in 11x + 13 = 222?

The solution of 11x + 13 = 222 is x = 19.

How do you solve 11x + 13 = 222?

Subtract 13 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) + 13 = 222, which is 222.

Similar equations

    Solve 11x + 13 = 222: x = 19 (steps and check) | WordGPT