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Solve 10x + 11 = 41

The solution of 10x + 11 = 41 is x = 3.

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The lines y = 10x + 11 and y = 41 meet at x = 3-22468-2020406080100x = 3y = 10x + 11y = 41
The lines y = 10x + 11 and y = 41 meet at x = 3. 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=4110x + 11 = 41
  2. 2

    Subtract 11 from both sides:

    10x+11−11=41−11 ⇒ 10x=3010x + 11 - 11 = 41 - 11 \ \Rightarrow\ 10x = 30
  3. 3

    Divide both sides by 10:

    10x10=3010 ⇒ x=3\frac{10x}{10} = \frac{30}{10} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    10⋅3+11=30+11=41✓10\cdot3 + 11 = 30 + 11 = 41 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 11 = 41\ \Rightarrow\ x = 3 \]
\[ 10x + 11 = 41 \]
\[ 10x + 11 - 11 = 41 - 11 \ \Rightarrow\ 10x = 30 \]
\[ \frac{10x}{10} = \frac{30}{10} \ \Rightarrow\ x = 3 \]
\[ 10\cdot3 + 11 = 30 + 11 = 41 \checkmark \]

Trying values of x in 10x + 11 = 41

x10x + 11Equals 41?
121no
231no
341yes
451no
561no

Questions

What is x in 10x + 11 = 41?

The solution of 10x + 11 = 41 is x = 3.

How do you solve 10x + 11 = 41?

Subtract 11 from both sides to get 10x = 30, then divide both sides by 10 to get x = 3.

How do I check the answer?

Replace x by 3: 10(3) + 11 = 41, which is 41.

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    Solve 10x + 11 = 41: x = 3 (steps and check) | WordGPT