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Solve 11x + 10 = 21

The solution of 11x + 10 = 21 is x = 1.

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The lines y = 11x + 10 and y = 21 meet at x = 1-4-2246-40-2020406080100x = 1y = 11x + 10y = 21
The lines y = 11x + 10 and y = 21 meet at x = 1. 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+10=2111x + 10 = 21
  2. 2

    Subtract 10 from both sides:

    11x+10−10=21−10 ⇒ 11x=1111x + 10 - 10 = 21 - 10 \ \Rightarrow\ 11x = 11
  3. 3

    Divide both sides by 11:

    11x11=1111 ⇒ x=1\frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    11⋅1+10=11+10=21✓11\cdot1 + 10 = 11 + 10 = 21 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 10 = 21\ \Rightarrow\ x = 1 \]
\[ 11x + 10 = 21 \]
\[ 11x + 10 - 10 = 21 - 10 \ \Rightarrow\ 11x = 11 \]
\[ \frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1 \]
\[ 11\cdot1 + 10 = 11 + 10 = 21 \checkmark \]

Trying values of x in 11x + 10 = 21

x11x + 10Equals 21?
-1-1no
010no
121yes
232no
343no

Questions

What is x in 11x + 10 = 21?

The solution of 11x + 10 = 21 is x = 1.

How do you solve 11x + 10 = 21?

Subtract 10 from both sides to get 11x = 11, then divide both sides by 11 to get x = 1.

How do I check the answer?

Replace x by 1: 11(1) + 10 = 21, which is 21.

Similar equations

    Solve 11x + 10 = 21: x = 1 (steps and check) | WordGPT