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Solve 9x + 6 = 105

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

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The lines y = 9x + 6 and y = 105 meet at x = 116810121416406080100120140160x = 11y = 9x + 6y = 105
The lines y = 9x + 6 and y = 105 meet at x = 11. 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+6=1059x + 6 = 105
  2. 2

    Subtract 6 from both sides:

    9x+6−6=105−6 ⇒ 9x=999x + 6 - 6 = 105 - 6 \ \Rightarrow\ 9x = 99
  3. 3

    Divide both sides by 9:

    9x9=999 ⇒ x=11\frac{9x}{9} = \frac{99}{9} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    9⋅11+6=99+6=105✓9\cdot11 + 6 = 99 + 6 = 105 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 6 = 105\ \Rightarrow\ x = 11 \]
\[ 9x + 6 = 105 \]
\[ 9x + 6 - 6 = 105 - 6 \ \Rightarrow\ 9x = 99 \]
\[ \frac{9x}{9} = \frac{99}{9} \ \Rightarrow\ x = 11 \]
\[ 9\cdot11 + 6 = 99 + 6 = 105 \checkmark \]

Trying values of x in 9x + 6 = 105

x9x + 6Equals 105?
987no
1096no
11105yes
12114no
13123no

Questions

What is x in 9x + 6 = 105?

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

How do you solve 9x + 6 = 105?

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

How do I check the answer?

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

Similar equations

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