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Solve 10x + 9 = 109

The solution of 10x + 9 = 109 is x = 10.

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The lines y = 10x + 9 and y = 109 meet at x = 1046810121416406080100120140160180x = 10y = 10x + 9y = 109
The lines y = 10x + 9 and y = 109 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.

    10x+9=10910x + 9 = 109
  2. 2

    Subtract 9 from both sides:

    10x+9−9=109−9 ⇒ 10x=10010x + 9 - 9 = 109 - 9 \ \Rightarrow\ 10x = 100
  3. 3

    Divide both sides by 10:

    10x10=10010 ⇒ x=10\frac{10x}{10} = \frac{100}{10} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    10⋅10+9=100+9=109✓10\cdot10 + 9 = 100 + 9 = 109 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 9 = 109\ \Rightarrow\ x = 10 \]
\[ 10x + 9 = 109 \]
\[ 10x + 9 - 9 = 109 - 9 \ \Rightarrow\ 10x = 100 \]
\[ \frac{10x}{10} = \frac{100}{10} \ \Rightarrow\ x = 10 \]
\[ 10\cdot10 + 9 = 100 + 9 = 109 \checkmark \]

Trying values of x in 10x + 9 = 109

x10x + 9Equals 109?
889no
999no
10109yes
11119no
12129no

Questions

What is x in 10x + 9 = 109?

The solution of 10x + 9 = 109 is x = 10.

How do you solve 10x + 9 = 109?

Subtract 9 from both sides to get 10x = 100, then divide both sides by 10 to get x = 10.

How do I check the answer?

Replace x by 10: 10(10) + 9 = 109, which is 109.

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