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Solve 9x + 13 = 22

The solution of 9x + 13 = 22 is x = 1.

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The lines y = 9x + 13 and y = 22 meet at x = 1-4-2246-40-2020406080x = 1y = 9x + 13y = 22
The lines y = 9x + 13 and y = 22 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.

    9x+13=229x + 13 = 22
  2. 2

    Subtract 13 from both sides:

    9x+13−13=22−13 ⇒ 9x=99x + 13 - 13 = 22 - 13 \ \Rightarrow\ 9x = 9
  3. 3

    Divide both sides by 9:

    9x9=99 ⇒ x=1\frac{9x}{9} = \frac{9}{9} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    9⋅1+13=9+13=22✓9\cdot1 + 13 = 9 + 13 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 13 = 22\ \Rightarrow\ x = 1 \]
\[ 9x + 13 = 22 \]
\[ 9x + 13 - 13 = 22 - 13 \ \Rightarrow\ 9x = 9 \]
\[ \frac{9x}{9} = \frac{9}{9} \ \Rightarrow\ x = 1 \]
\[ 9\cdot1 + 13 = 9 + 13 = 22 \checkmark \]

Trying values of x in 9x + 13 = 22

x9x + 13Equals 22?
-14no
013no
122yes
231no
340no

Questions

What is x in 9x + 13 = 22?

The solution of 9x + 13 = 22 is x = 1.

How do you solve 9x + 13 = 22?

Subtract 13 from both sides to get 9x = 9, then divide both sides by 9 to get x = 1.

How do I check the answer?

Replace x by 1: 9(1) + 13 = 22, which is 22.

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    Solve 9x + 13 = 22: x = 1 (steps and check) | WordGPT