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Solve 11x + 13 = 101

The solution of 11x + 13 = 101 is x = 8.

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The lines y = 11x + 13 and y = 101 meet at x = 82468101214406080100120140160180x = 8y = 11x + 13y = 101
The lines y = 11x + 13 and y = 101 meet at x = 8. 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+13=10111x + 13 = 101
  2. 2

    Subtract 13 from both sides:

    11x+13−13=101−13 ⇒ 11x=8811x + 13 - 13 = 101 - 13 \ \Rightarrow\ 11x = 88
  3. 3

    Divide both sides by 11:

    11x11=8811 ⇒ x=8\frac{11x}{11} = \frac{88}{11} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    11⋅8+13=88+13=101✓11\cdot8 + 13 = 88 + 13 = 101 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 13 = 101\ \Rightarrow\ x = 8 \]
\[ 11x + 13 = 101 \]
\[ 11x + 13 - 13 = 101 - 13 \ \Rightarrow\ 11x = 88 \]
\[ \frac{11x}{11} = \frac{88}{11} \ \Rightarrow\ x = 8 \]
\[ 11\cdot8 + 13 = 88 + 13 = 101 \checkmark \]

Trying values of x in 11x + 13 = 101

x11x + 13Equals 101?
679no
790no
8101yes
9112no
10123no

Questions

What is x in 11x + 13 = 101?

The solution of 11x + 13 = 101 is x = 8.

How do you solve 11x + 13 = 101?

Subtract 13 from both sides to get 11x = 88, then divide both sides by 11 to get x = 8.

How do I check the answer?

Replace x by 8: 11(8) + 13 = 101, which is 101.

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    Solve 11x + 13 = 101: x = 8 (steps and check) | WordGPT