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Solve 10x + 1 = 41

The solution of 10x + 1 = 41 is x = 4.

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The lines y = 10x + 1 and y = 41 meet at x = 4-2246810-2020406080100x = 4y = 10x + 1y = 41
The lines y = 10x + 1 and y = 41 meet at x = 4. 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+1=4110x + 1 = 41
  2. 2

    Subtract 1 from both sides:

    10x+1−1=41−1 ⇒ 10x=4010x + 1 - 1 = 41 - 1 \ \Rightarrow\ 10x = 40
  3. 3

    Divide both sides by 10:

    10x10=4010 ⇒ x=4\frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    10⋅4+1=40+1=41✓10\cdot4 + 1 = 40 + 1 = 41 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 1 = 41\ \Rightarrow\ x = 4 \]
\[ 10x + 1 = 41 \]
\[ 10x + 1 - 1 = 41 - 1 \ \Rightarrow\ 10x = 40 \]
\[ \frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4 \]
\[ 10\cdot4 + 1 = 40 + 1 = 41 \checkmark \]

Trying values of x in 10x + 1 = 41

x10x + 1Equals 41?
221no
331no
441yes
551no
661no

Questions

What is x in 10x + 1 = 41?

The solution of 10x + 1 = 41 is x = 4.

How do you solve 10x + 1 = 41?

Subtract 1 from both sides to get 10x = 40, then divide both sides by 10 to get x = 4.

How do I check the answer?

Replace x by 4: 10(4) + 1 = 41, which is 41.

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    Solve 10x + 1 = 41: x = 4 (steps and check) | WordGPT