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Solve 10x + 1 = 61

The solution of 10x + 1 = 61 is x = 6.

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The lines y = 10x + 1 and y = 61 meet at x = 62468101220406080100120x = 6y = 10x + 1y = 61
The lines y = 10x + 1 and y = 61 meet at x = 6. 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=6110x + 1 = 61
  2. 2

    Subtract 1 from both sides:

    10x+1−1=61−1 ⇒ 10x=6010x + 1 - 1 = 61 - 1 \ \Rightarrow\ 10x = 60
  3. 3

    Divide both sides by 10:

    10x10=6010 ⇒ x=6\frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    10⋅6+1=60+1=61✓10\cdot6 + 1 = 60 + 1 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 1 = 61\ \Rightarrow\ x = 6 \]
\[ 10x + 1 = 61 \]
\[ 10x + 1 - 1 = 61 - 1 \ \Rightarrow\ 10x = 60 \]
\[ \frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6 \]
\[ 10\cdot6 + 1 = 60 + 1 = 61 \checkmark \]

Trying values of x in 10x + 1 = 61

x10x + 1Equals 61?
441no
551no
661yes
771no
881no

Questions

What is x in 10x + 1 = 61?

The solution of 10x + 1 = 61 is x = 6.

How do you solve 10x + 1 = 61?

Subtract 1 from both sides to get 10x = 60, then divide both sides by 10 to get x = 6.

How do I check the answer?

Replace x by 6: 10(6) + 1 = 61, which is 61.

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    Solve 10x + 1 = 61: x = 6 (steps and check) | WordGPT