WordGPT

Solve 6x + 9 = 105

The solution of 6x + 9 = 105 is x = 16.

Explain it step by step in chatMake a short video of it
The lines y = 6x + 9 and y = 105 meet at x = 1610121416182022708090100110120130140x = 16y = 6x + 9y = 105
The lines y = 6x + 9 and y = 105 meet at x = 16. 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.

    6x+9=1056x + 9 = 105
  2. 2

    Subtract 9 from both sides:

    6x+9−9=105−9 ⇒ 6x=966x + 9 - 9 = 105 - 9 \ \Rightarrow\ 6x = 96
  3. 3

    Divide both sides by 6:

    6x6=966 ⇒ x=16\frac{6x}{6} = \frac{96}{6} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    6⋅16+9=96+9=105✓6\cdot16 + 9 = 96 + 9 = 105 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 9 = 105\ \Rightarrow\ x = 16 \]
\[ 6x + 9 = 105 \]
\[ 6x + 9 - 9 = 105 - 9 \ \Rightarrow\ 6x = 96 \]
\[ \frac{6x}{6} = \frac{96}{6} \ \Rightarrow\ x = 16 \]
\[ 6\cdot16 + 9 = 96 + 9 = 105 \checkmark \]

Trying values of x in 6x + 9 = 105

x6x + 9Equals 105?
1493no
1599no
16105yes
17111no
18117no

Questions

What is x in 6x + 9 = 105?

The solution of 6x + 9 = 105 is x = 16.

How do you solve 6x + 9 = 105?

Subtract 9 from both sides to get 6x = 96, then divide both sides by 6 to get x = 16.

How do I check the answer?

Replace x by 16: 6(16) + 9 = 105, which is 105.

Similar equations

    Solve 6x + 9 = 105: x = 16 (steps and check) | WordGPT