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Solve 11x + 9 = 20

The solution of 11x + 9 = 20 is x = 1.

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The lines y = 11x + 9 and y = 20 meet at x = 1-4-2246-40-2020406080x = 1y = 11x + 9y = 20
The lines y = 11x + 9 and y = 20 meet at x = 1. 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+9=2011x + 9 = 20
  2. 2

    Subtract 9 from both sides:

    11x+9−9=20−9 ⇒ 11x=1111x + 9 - 9 = 20 - 9 \ \Rightarrow\ 11x = 11
  3. 3

    Divide both sides by 11:

    11x11=1111 ⇒ x=1\frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    11⋅1+9=11+9=20✓11\cdot1 + 9 = 11 + 9 = 20 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 9 = 20\ \Rightarrow\ x = 1 \]
\[ 11x + 9 = 20 \]
\[ 11x + 9 - 9 = 20 - 9 \ \Rightarrow\ 11x = 11 \]
\[ \frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1 \]
\[ 11\cdot1 + 9 = 11 + 9 = 20 \checkmark \]

Trying values of x in 11x + 9 = 20

x11x + 9Equals 20?
-1-2no
09no
120yes
231no
342no

Questions

What is x in 11x + 9 = 20?

The solution of 11x + 9 = 20 is x = 1.

How do you solve 11x + 9 = 20?

Subtract 9 from both sides to get 11x = 11, then divide both sides by 11 to get x = 1.

How do I check the answer?

Replace x by 1: 11(1) + 9 = 20, which is 20.

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    Solve 11x + 9 = 20: x = 1 (steps and check) | WordGPT