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Solve 11x + 9 = 75

The solution of 11x + 9 = 75 is x = 6.

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The lines y = 11x + 9 and y = 75 meet at x = 62468101220406080100120140x = 6y = 11x + 9y = 75
The lines y = 11x + 9 and y = 75 meet at x = 6. 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+9=7511x + 9 = 75
  2. 2

    Subtract 9 from both sides:

    11x+9−9=75−9 ⇒ 11x=6611x + 9 - 9 = 75 - 9 \ \Rightarrow\ 11x = 66
  3. 3

    Divide both sides by 11:

    11x11=6611 ⇒ x=6\frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    11⋅6+9=66+9=75✓11\cdot6 + 9 = 66 + 9 = 75 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 9 = 75\ \Rightarrow\ x = 6 \]
\[ 11x + 9 = 75 \]
\[ 11x + 9 - 9 = 75 - 9 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 + 9 = 66 + 9 = 75 \checkmark \]

Trying values of x in 11x + 9 = 75

x11x + 9Equals 75?
453no
564no
675yes
786no
897no

Questions

What is x in 11x + 9 = 75?

The solution of 11x + 9 = 75 is x = 6.

How do you solve 11x + 9 = 75?

Subtract 9 from both sides to get 11x = 66, then divide both sides by 11 to get x = 6.

How do I check the answer?

Replace x by 6: 11(6) + 9 = 75, which is 75.

Similar equations

    Solve 11x + 9 = 75: x = 6 (steps and check) | WordGPT