WordGPT

Solve 9x + 1 = 109

The solution of 9x + 1 = 109 is x = 12.

Explain it step by step in chatMake a short video of it
The lines y = 9x + 1 and y = 109 meet at x = 126810121416186080100120140160x = 12y = 9x + 1y = 109
The lines y = 9x + 1 and y = 109 meet at x = 12. 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.

    9x+1=1099x + 1 = 109
  2. 2

    Subtract 1 from both sides:

    9x+1−1=109−1 ⇒ 9x=1089x + 1 - 1 = 109 - 1 \ \Rightarrow\ 9x = 108
  3. 3

    Divide both sides by 9:

    9x9=1089 ⇒ x=12\frac{9x}{9} = \frac{108}{9} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    9⋅12+1=108+1=109✓9\cdot12 + 1 = 108 + 1 = 109 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 1 = 109\ \Rightarrow\ x = 12 \]
\[ 9x + 1 = 109 \]
\[ 9x + 1 - 1 = 109 - 1 \ \Rightarrow\ 9x = 108 \]
\[ \frac{9x}{9} = \frac{108}{9} \ \Rightarrow\ x = 12 \]
\[ 9\cdot12 + 1 = 108 + 1 = 109 \checkmark \]

Trying values of x in 9x + 1 = 109

x9x + 1Equals 109?
1091no
11100no
12109yes
13118no
14127no

Questions

What is x in 9x + 1 = 109?

The solution of 9x + 1 = 109 is x = 12.

How do you solve 9x + 1 = 109?

Subtract 1 from both sides to get 9x = 108, then divide both sides by 9 to get x = 12.

How do I check the answer?

Replace x by 12: 9(12) + 1 = 109, which is 109.

Similar equations

    Solve 9x + 1 = 109: x = 12 (steps and check) | WordGPT