WordGPT

Solve 11x + 6 = 105

The solution of 11x + 6 = 105 is x = 9.

Explain it step by step in chatMake a short video of it
The lines y = 11x + 6 and y = 105 meet at x = 9468101214406080100120140160180x = 9y = 11x + 6y = 105
The lines y = 11x + 6 and y = 105 meet at x = 9. 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+6=10511x + 6 = 105
  2. 2

    Subtract 6 from both sides:

    11x+6−6=105−6 ⇒ 11x=9911x + 6 - 6 = 105 - 6 \ \Rightarrow\ 11x = 99
  3. 3

    Divide both sides by 11:

    11x11=9911 ⇒ x=9\frac{11x}{11} = \frac{99}{11} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    11⋅9+6=99+6=105✓11\cdot9 + 6 = 99 + 6 = 105 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 6 = 105\ \Rightarrow\ x = 9 \]
\[ 11x + 6 = 105 \]
\[ 11x + 6 - 6 = 105 - 6 \ \Rightarrow\ 11x = 99 \]
\[ \frac{11x}{11} = \frac{99}{11} \ \Rightarrow\ x = 9 \]
\[ 11\cdot9 + 6 = 99 + 6 = 105 \checkmark \]

Trying values of x in 11x + 6 = 105

x11x + 6Equals 105?
783no
894no
9105yes
10116no
11127no

Questions

What is x in 11x + 6 = 105?

The solution of 11x + 6 = 105 is x = 9.

How do you solve 11x + 6 = 105?

Subtract 6 from both sides to get 11x = 99, then divide both sides by 11 to get x = 9.

How do I check the answer?

Replace x by 9: 11(9) + 6 = 105, which is 105.

Similar equations

    Solve 11x + 6 = 105: x = 9 (steps and check) | WordGPT