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Solve 10x + 11 = 1

The solution of 10x + 11 = 1 is x = -1.

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The lines y = 10x + 11 and y = 1 meet at x = -1-6-4-224-60-40-20204060x = -1y = 10x + 11y = 1
The lines y = 10x + 11 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.

    10x+11=110x + 11 = 1
  2. 2

    Subtract 11 from both sides:

    10x+11−11=1−11 ⇒ 10x=−1010x + 11 - 11 = 1 - 11 \ \Rightarrow\ 10x = -10
  3. 3

    Divide both sides by 10:

    10x10=−1010 ⇒ x=−1\frac{10x}{10} = \frac{-10}{10} \ \Rightarrow\ x = -1
  4. 4

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

    10⋅(−1)+11=−10+11=1✓10\cdot(-1) + 11 = -10 + 11 = 1 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 11 = 1\ \Rightarrow\ x = -1 \]
\[ 10x + 11 = 1 \]
\[ 10x + 11 - 11 = 1 - 11 \ \Rightarrow\ 10x = -10 \]
\[ \frac{10x}{10} = \frac{-10}{10} \ \Rightarrow\ x = -1 \]
\[ 10\cdot(-1) + 11 = -10 + 11 = 1 \checkmark \]

Trying values of x in 10x + 11 = 1

x10x + 11Equals 1?
-3-19no
-2-9no
-11yes
011no
121no

Questions

What is x in 10x + 11 = 1?

The solution of 10x + 11 = 1 is x = -1.

How do you solve 10x + 11 = 1?

Subtract 11 from both sides to get 10x = -10, then divide both sides by 10 to get x = -1.

How do I check the answer?

Replace x by -1: 10(-1) + 11 = 1, which is 1.

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