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Solve 12x + 13 = 1

The solution of 12x + 13 = 1 is x = -1.

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The lines y = 12x + 13 and y = 1 meet at x = -1-6-4-224-80-60-40-2020406080x = -1y = 12x + 13y = 1
The lines y = 12x + 13 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.

    12x+13=112x + 13 = 1
  2. 2

    Subtract 13 from both sides:

    12x+13−13=1−13 ⇒ 12x=−1212x + 13 - 13 = 1 - 13 \ \Rightarrow\ 12x = -12
  3. 3

    Divide both sides by 12:

    12x12=−1212 ⇒ x=−1\frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1
  4. 4

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

    12⋅(−1)+13=−12+13=1✓12\cdot(-1) + 13 = -12 + 13 = 1 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 1\ \Rightarrow\ x = -1 \]
\[ 12x + 13 = 1 \]
\[ 12x + 13 - 13 = 1 - 13 \ \Rightarrow\ 12x = -12 \]
\[ \frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1 \]
\[ 12\cdot(-1) + 13 = -12 + 13 = 1 \checkmark \]

Trying values of x in 12x + 13 = 1

x12x + 13Equals 1?
-3-23no
-2-11no
-11yes
013no
125no

Questions

What is x in 12x + 13 = 1?

The solution of 12x + 13 = 1 is x = -1.

How do you solve 12x + 13 = 1?

Subtract 13 from both sides to get 12x = -12, then divide both sides by 12 to get x = -1.

How do I check the answer?

Replace x by -1: 12(-1) + 13 = 1, which is 1.

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    Solve 12x + 13 = 1: x = -1 (steps and check) | WordGPT