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Solve 10x + 11 = 101

The solution of 10x + 11 = 101 is x = 9.

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The lines y = 10x + 11 and y = 101 meet at x = 9468101214406080100120140160x = 9y = 10x + 11y = 101
The lines y = 10x + 11 and y = 101 meet at x = 9. 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+11=10110x + 11 = 101
  2. 2

    Subtract 11 from both sides:

    10x+11−11=101−11 ⇒ 10x=9010x + 11 - 11 = 101 - 11 \ \Rightarrow\ 10x = 90
  3. 3

    Divide both sides by 10:

    10x10=9010 ⇒ x=9\frac{10x}{10} = \frac{90}{10} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    10⋅9+11=90+11=101✓10\cdot9 + 11 = 90 + 11 = 101 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 11 = 101\ \Rightarrow\ x = 9 \]
\[ 10x + 11 = 101 \]
\[ 10x + 11 - 11 = 101 - 11 \ \Rightarrow\ 10x = 90 \]
\[ \frac{10x}{10} = \frac{90}{10} \ \Rightarrow\ x = 9 \]
\[ 10\cdot9 + 11 = 90 + 11 = 101 \checkmark \]

Trying values of x in 10x + 11 = 101

x10x + 11Equals 101?
781no
891no
9101yes
10111no
11121no

Questions

What is x in 10x + 11 = 101?

The solution of 10x + 11 = 101 is x = 9.

How do you solve 10x + 11 = 101?

Subtract 11 from both sides to get 10x = 90, then divide both sides by 10 to get x = 9.

How do I check the answer?

Replace x by 9: 10(9) + 11 = 101, which is 101.

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    Solve 10x + 11 = 101: x = 9 (steps and check) | WordGPT