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Solve 9x + 13 = 130

The solution of 9x + 13 = 130 is x = 13.

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The lines y = 9x + 13 and y = 130 meet at x = 138101214161880100120140160180x = 13y = 9x + 13y = 130
The lines y = 9x + 13 and y = 130 meet at x = 13. 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=1309x + 13 = 130
  2. 2

    Subtract 13 from both sides:

    9x+13−13=130−13 ⇒ 9x=1179x + 13 - 13 = 130 - 13 \ \Rightarrow\ 9x = 117
  3. 3

    Divide both sides by 9:

    9x9=1179 ⇒ x=13\frac{9x}{9} = \frac{117}{9} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    9⋅13+13=117+13=130✓9\cdot13 + 13 = 117 + 13 = 130 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 13 = 130\ \Rightarrow\ x = 13 \]
\[ 9x + 13 = 130 \]
\[ 9x + 13 - 13 = 130 - 13 \ \Rightarrow\ 9x = 117 \]
\[ \frac{9x}{9} = \frac{117}{9} \ \Rightarrow\ x = 13 \]
\[ 9\cdot13 + 13 = 117 + 13 = 130 \checkmark \]

Trying values of x in 9x + 13 = 130

x9x + 13Equals 130?
11112no
12121no
13130yes
14139no
15148no

Questions

What is x in 9x + 13 = 130?

The solution of 9x + 13 = 130 is x = 13.

How do you solve 9x + 13 = 130?

Subtract 13 from both sides to get 9x = 117, then divide both sides by 9 to get x = 13.

How do I check the answer?

Replace x by 13: 9(13) + 13 = 130, which is 130.

Similar equations

    Solve 9x + 13 = 130: x = 13 (steps and check) | WordGPT