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Solve 10x + 1 = 101

The solution of 10x + 1 = 101 is x = 10.

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The lines y = 10x + 1 and y = 101 meet at x = 1046810121416406080100120140160x = 10y = 10x + 1y = 101
The lines y = 10x + 1 and y = 101 meet at x = 10. 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=10110x + 1 = 101
  2. 2

    Subtract 1 from both sides:

    10x+1−1=101−1 ⇒ 10x=10010x + 1 - 1 = 101 - 1 \ \Rightarrow\ 10x = 100
  3. 3

    Divide both sides by 10:

    10x10=10010 ⇒ x=10\frac{10x}{10} = \frac{100}{10} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    10⋅10+1=100+1=101✓10\cdot10 + 1 = 100 + 1 = 101 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 1 = 101\ \Rightarrow\ x = 10 \]
\[ 10x + 1 = 101 \]
\[ 10x + 1 - 1 = 101 - 1 \ \Rightarrow\ 10x = 100 \]
\[ \frac{10x}{10} = \frac{100}{10} \ \Rightarrow\ x = 10 \]
\[ 10\cdot10 + 1 = 100 + 1 = 101 \checkmark \]

Trying values of x in 10x + 1 = 101

x10x + 1Equals 101?
881no
991no
10101yes
11111no
12121no

Questions

What is x in 10x + 1 = 101?

The solution of 10x + 1 = 101 is x = 10.

How do you solve 10x + 1 = 101?

Subtract 1 from both sides to get 10x = 100, then divide both sides by 10 to get x = 10.

How do I check the answer?

Replace x by 10: 10(10) + 1 = 101, which is 101.

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    Solve 10x + 1 = 101: x = 10 (steps and check) | WordGPT