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Solve 11x + 2 = 101

The solution of 11x + 2 = 101 is x = 9.

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The lines y = 11x + 2 and y = 101 meet at x = 9468101214406080100120140160180x = 9y = 11x + 2y = 101
The lines y = 11x + 2 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.

    11x+2=10111x + 2 = 101
  2. 2

    Subtract 2 from both sides:

    11x+2−2=101−2 ⇒ 11x=9911x + 2 - 2 = 101 - 2 \ \Rightarrow\ 11x = 99
  3. 3

    Divide both sides by 11:

    11x11=9911 ⇒ x=9\frac{11x}{11} = \frac{99}{11} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    11⋅9+2=99+2=101✓11\cdot9 + 2 = 99 + 2 = 101 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 2 = 101\ \Rightarrow\ x = 9 \]
\[ 11x + 2 = 101 \]
\[ 11x + 2 - 2 = 101 - 2 \ \Rightarrow\ 11x = 99 \]
\[ \frac{11x}{11} = \frac{99}{11} \ \Rightarrow\ x = 9 \]
\[ 11\cdot9 + 2 = 99 + 2 = 101 \checkmark \]

Trying values of x in 11x + 2 = 101

x11x + 2Equals 101?
779no
890no
9101yes
10112no
11123no

Questions

What is x in 11x + 2 = 101?

The solution of 11x + 2 = 101 is x = 9.

How do you solve 11x + 2 = 101?

Subtract 2 from both sides to get 11x = 99, then divide both sides by 11 to get x = 9.

How do I check the answer?

Replace x by 9: 11(9) + 2 = 101, which is 101.

Similar equations

    Solve 11x + 2 = 101: x = 9 (steps and check) | WordGPT