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Solve 10x + 1 = 171

The solution of 10x + 1 = 171 is x = 17.

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The lines y = 10x + 1 and y = 171 meet at x = 17121416182022100120140160180200220240x = 17y = 10x + 1y = 171
The lines y = 10x + 1 and y = 171 meet at x = 17. 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=17110x + 1 = 171
  2. 2

    Subtract 1 from both sides:

    10x+1−1=171−1 ⇒ 10x=17010x + 1 - 1 = 171 - 1 \ \Rightarrow\ 10x = 170
  3. 3

    Divide both sides by 10:

    10x10=17010 ⇒ x=17\frac{10x}{10} = \frac{170}{10} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    10⋅17+1=170+1=171✓10\cdot17 + 1 = 170 + 1 = 171 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 1 = 171\ \Rightarrow\ x = 17 \]
\[ 10x + 1 = 171 \]
\[ 10x + 1 - 1 = 171 - 1 \ \Rightarrow\ 10x = 170 \]
\[ \frac{10x}{10} = \frac{170}{10} \ \Rightarrow\ x = 17 \]
\[ 10\cdot17 + 1 = 170 + 1 = 171 \checkmark \]

Trying values of x in 10x + 1 = 171

x10x + 1Equals 171?
15151no
16161no
17171yes
18181no
19191no

Questions

What is x in 10x + 1 = 171?

The solution of 10x + 1 = 171 is x = 17.

How do you solve 10x + 1 = 171?

Subtract 1 from both sides to get 10x = 170, then divide both sides by 10 to get x = 17.

How do I check the answer?

Replace x by 17: 10(17) + 1 = 171, which is 171.

Similar equations

    Solve 10x + 1 = 171: x = 17 (steps and check) | WordGPT