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Solve 10x + 1 = 161

The solution of 10x + 1 = 161 is x = 16.

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The lines y = 10x + 1 and y = 161 meet at x = 1610121416182022100120140160180200220x = 16y = 10x + 1y = 161
The lines y = 10x + 1 and y = 161 meet at x = 16. 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=16110x + 1 = 161
  2. 2

    Subtract 1 from both sides:

    10x+1−1=161−1 ⇒ 10x=16010x + 1 - 1 = 161 - 1 \ \Rightarrow\ 10x = 160
  3. 3

    Divide both sides by 10:

    10x10=16010 ⇒ x=16\frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    10⋅16+1=160+1=161✓10\cdot16 + 1 = 160 + 1 = 161 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 1 = 161\ \Rightarrow\ x = 16 \]
\[ 10x + 1 = 161 \]
\[ 10x + 1 - 1 = 161 - 1 \ \Rightarrow\ 10x = 160 \]
\[ \frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16 \]
\[ 10\cdot16 + 1 = 160 + 1 = 161 \checkmark \]

Trying values of x in 10x + 1 = 161

x10x + 1Equals 161?
14141no
15151no
16161yes
17171no
18181no

Questions

What is x in 10x + 1 = 161?

The solution of 10x + 1 = 161 is x = 16.

How do you solve 10x + 1 = 161?

Subtract 1 from both sides to get 10x = 160, then divide both sides by 10 to get x = 16.

How do I check the answer?

Replace x by 16: 10(16) + 1 = 161, which is 161.

Similar equations

    Solve 10x + 1 = 161: x = 16 (steps and check) | WordGPT