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Solve 11x + 15 = 224

The solution of 11x + 15 = 224 is x = 19.

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The lines y = 11x + 15 and y = 224 meet at x = 19141618202224160180200220240260280300x = 19y = 11x + 15y = 224
The lines y = 11x + 15 and y = 224 meet at x = 19. 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+15=22411x + 15 = 224
  2. 2

    Subtract 15 from both sides:

    11x+15−15=224−15 ⇒ 11x=20911x + 15 - 15 = 224 - 15 \ \Rightarrow\ 11x = 209
  3. 3

    Divide both sides by 11:

    11x11=20911 ⇒ x=19\frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    11⋅19+15=209+15=224✓11\cdot19 + 15 = 209 + 15 = 224 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 15 = 224\ \Rightarrow\ x = 19 \]
\[ 11x + 15 = 224 \]
\[ 11x + 15 - 15 = 224 - 15 \ \Rightarrow\ 11x = 209 \]
\[ \frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19 \]
\[ 11\cdot19 + 15 = 209 + 15 = 224 \checkmark \]

Trying values of x in 11x + 15 = 224

x11x + 15Equals 224?
17202no
18213no
19224yes
20235no
21246no

Questions

What is x in 11x + 15 = 224?

The solution of 11x + 15 = 224 is x = 19.

How do you solve 11x + 15 = 224?

Subtract 15 from both sides to get 11x = 209, then divide both sides by 11 to get x = 19.

How do I check the answer?

Replace x by 19: 11(19) + 15 = 224, which is 224.

Similar equations

    Solve 11x + 15 = 224: x = 19 (steps and check) | WordGPT