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Solve 11x + 9 = 130

The solution of 11x + 9 = 130 is x = 11.

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The lines y = 11x + 9 and y = 130 meet at x = 1168101214166080100120140160180200x = 11y = 11x + 9y = 130
The lines y = 11x + 9 and y = 130 meet at x = 11. 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=13011x + 9 = 130
  2. 2

    Subtract 9 from both sides:

    11x+9−9=130−9 ⇒ 11x=12111x + 9 - 9 = 130 - 9 \ \Rightarrow\ 11x = 121
  3. 3

    Divide both sides by 11:

    11x11=12111 ⇒ x=11\frac{11x}{11} = \frac{121}{11} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    11⋅11+9=121+9=130✓11\cdot11 + 9 = 121 + 9 = 130 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 9 = 130\ \Rightarrow\ x = 11 \]
\[ 11x + 9 = 130 \]
\[ 11x + 9 - 9 = 130 - 9 \ \Rightarrow\ 11x = 121 \]
\[ \frac{11x}{11} = \frac{121}{11} \ \Rightarrow\ x = 11 \]
\[ 11\cdot11 + 9 = 121 + 9 = 130 \checkmark \]

Trying values of x in 11x + 9 = 130

x11x + 9Equals 130?
9108no
10119no
11130yes
12141no
13152no

Questions

What is x in 11x + 9 = 130?

The solution of 11x + 9 = 130 is x = 11.

How do you solve 11x + 9 = 130?

Subtract 9 from both sides to get 11x = 121, then divide both sides by 11 to get x = 11.

How do I check the answer?

Replace x by 11: 11(11) + 9 = 130, which is 130.

Similar equations

    Solve 11x + 9 = 130: x = 11 (steps and check) | WordGPT