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Solve 11x + 12 = 1

The solution of 11x + 12 = 1 is x = -1.

The lines y = 11x + 12 and y = 1 meet at x = -1-6-4-224-60-40-2020406080x = -1y = 11x + 12y = 1
The lines y = 11x + 12 and y = 1 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.

    11x+12=111x + 12 = 1
  2. 2

    Subtract 12 from both sides:

    11x+12−12=1−12 ⇒ 11x=−1111x + 12 - 12 = 1 - 12 \ \Rightarrow\ 11x = -11
  3. 3

    Divide both sides by 11:

    11x11=−1111 ⇒ x=−1\frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1
  4. 4

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

    11⋅(−1)+12=−11+12=1✓11\cdot(-1) + 12 = -11 + 12 = 1 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 12 = 1\ \Rightarrow\ x = -1 \]
\[ 11x + 12 = 1 \]
\[ 11x + 12 - 12 = 1 - 12 \ \Rightarrow\ 11x = -11 \]
\[ \frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1 \]
\[ 11\cdot(-1) + 12 = -11 + 12 = 1 \checkmark \]

Trying values of x in 11x + 12 = 1

x11x + 12Equals 1?
-3-21no
-2-10no
-11yes
012no
123no

Questions

What is x in 11x + 12 = 1?

The solution of 11x + 12 = 1 is x = -1.

How do you solve 11x + 12 = 1?

Subtract 12 from both sides to get 11x = -11, then divide both sides by 11 to get x = -1.

How do I check the answer?

Replace x by -1: 11(-1) + 12 = 1, which is 1.

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    Solve 11x + 12 = 1: x = -1 (steps and check) | WordGPT