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Solve 11x + 13 = 24

The solution of 11x + 13 = 24 is x = 1.

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The lines y = 11x + 13 and y = 24 meet at x = 1-4-2246-40-2020406080100x = 1y = 11x + 13y = 24
The lines y = 11x + 13 and y = 24 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+13=2411x + 13 = 24
  2. 2

    Subtract 13 from both sides:

    11x+13−13=24−13 ⇒ 11x=1111x + 13 - 13 = 24 - 13 \ \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+13=11+13=24✓11\cdot1 + 13 = 11 + 13 = 24 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 13 = 24\ \Rightarrow\ x = 1 \]
\[ 11x + 13 = 24 \]
\[ 11x + 13 - 13 = 24 - 13 \ \Rightarrow\ 11x = 11 \]
\[ \frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1 \]
\[ 11\cdot1 + 13 = 11 + 13 = 24 \checkmark \]

Trying values of x in 11x + 13 = 24

x11x + 13Equals 24?
-12no
013no
124yes
235no
346no

Questions

What is x in 11x + 13 = 24?

The solution of 11x + 13 = 24 is x = 1.

How do you solve 11x + 13 = 24?

Subtract 13 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) + 13 = 24, which is 24.

Similar equations

    Solve 11x + 13 = 24: x = 1 (steps and check) | WordGPT