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Solve 11x + 13 = 123

The solution of 11x + 13 = 123 is x = 10.

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The lines y = 11x + 13 and y = 123 meet at x = 10468101214166080100120140160180200x = 10y = 11x + 13y = 123
The lines y = 11x + 13 and y = 123 meet at x = 10. 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=12311x + 13 = 123
  2. 2

    Subtract 13 from both sides:

    11x+13−13=123−13 ⇒ 11x=11011x + 13 - 13 = 123 - 13 \ \Rightarrow\ 11x = 110
  3. 3

    Divide both sides by 11:

    11x11=11011 ⇒ x=10\frac{11x}{11} = \frac{110}{11} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    11⋅10+13=110+13=123✓11\cdot10 + 13 = 110 + 13 = 123 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 13 = 123\ \Rightarrow\ x = 10 \]
\[ 11x + 13 = 123 \]
\[ 11x + 13 - 13 = 123 - 13 \ \Rightarrow\ 11x = 110 \]
\[ \frac{11x}{11} = \frac{110}{11} \ \Rightarrow\ x = 10 \]
\[ 11\cdot10 + 13 = 110 + 13 = 123 \checkmark \]

Trying values of x in 11x + 13 = 123

x11x + 13Equals 123?
8101no
9112no
10123yes
11134no
12145no

Questions

What is x in 11x + 13 = 123?

The solution of 11x + 13 = 123 is x = 10.

How do you solve 11x + 13 = 123?

Subtract 13 from both sides to get 11x = 110, then divide both sides by 11 to get x = 10.

How do I check the answer?

Replace x by 10: 11(10) + 13 = 123, which is 123.

Similar equations

    Solve 11x + 13 = 123: x = 10 (steps and check) | WordGPT