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Solve 9x + 11 = 2

The solution of 9x + 11 = 2 is x = -1.

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The lines y = 9x + 11 and y = 2 meet at x = -1-6-4-224-60-40-20204060x = -1y = 9x + 11y = 2
The lines y = 9x + 11 and y = 2 meet at x = -1. 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+11=29x + 11 = 2
  2. 2

    Subtract 11 from both sides:

    9x+11−11=2−11 ⇒ 9x=−99x + 11 - 11 = 2 - 11 \ \Rightarrow\ 9x = -9
  3. 3

    Divide both sides by 9:

    9x9=−99 ⇒ x=−1\frac{9x}{9} = \frac{-9}{9} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    9⋅(−1)+11=−9+11=2✓9\cdot(-1) + 11 = -9 + 11 = 2 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 11 = 2\ \Rightarrow\ x = -1 \]
\[ 9x + 11 = 2 \]
\[ 9x + 11 - 11 = 2 - 11 \ \Rightarrow\ 9x = -9 \]
\[ \frac{9x}{9} = \frac{-9}{9} \ \Rightarrow\ x = -1 \]
\[ 9\cdot(-1) + 11 = -9 + 11 = 2 \checkmark \]

Trying values of x in 9x + 11 = 2

x9x + 11Equals 2?
-3-16no
-2-7no
-12yes
011no
120no

Questions

What is x in 9x + 11 = 2?

The solution of 9x + 11 = 2 is x = -1.

How do you solve 9x + 11 = 2?

Subtract 11 from both sides to get 9x = -9, then divide both sides by 9 to get x = -1.

How do I check the answer?

Replace x by -1: 9(-1) + 11 = 2, which is 2.

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    Solve 9x + 11 = 2: x = -1 (steps and check) | WordGPT