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Solve 11x + 13 = 200

The solution of 11x + 13 = 200 is x = 17.

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The lines y = 11x + 13 and y = 200 meet at x = 17121416182022140160180200220240260x = 17y = 11x + 13y = 200
The lines y = 11x + 13 and y = 200 meet at x = 17. 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=20011x + 13 = 200
  2. 2

    Subtract 13 from both sides:

    11x+13−13=200−13 ⇒ 11x=18711x + 13 - 13 = 200 - 13 \ \Rightarrow\ 11x = 187
  3. 3

    Divide both sides by 11:

    11x11=18711 ⇒ x=17\frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    11⋅17+13=187+13=200✓11\cdot17 + 13 = 187 + 13 = 200 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 13 = 200\ \Rightarrow\ x = 17 \]
\[ 11x + 13 = 200 \]
\[ 11x + 13 - 13 = 200 - 13 \ \Rightarrow\ 11x = 187 \]
\[ \frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17 \]
\[ 11\cdot17 + 13 = 187 + 13 = 200 \checkmark \]

Trying values of x in 11x + 13 = 200

x11x + 13Equals 200?
15178no
16189no
17200yes
18211no
19222no

Questions

What is x in 11x + 13 = 200?

The solution of 11x + 13 = 200 is x = 17.

How do you solve 11x + 13 = 200?

Subtract 13 from both sides to get 11x = 187, then divide both sides by 11 to get x = 17.

How do I check the answer?

Replace x by 17: 11(17) + 13 = 200, which is 200.

Similar equations

    Solve 11x + 13 = 200: x = 17 (steps and check) | WordGPT