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Solve 11x + 5 = 16

The solution of 11x + 5 = 16 is x = 1.

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The lines y = 11x + 5 and y = 16 meet at x = 1-4-2246-60-40-2020406080x = 1y = 11x + 5y = 16
The lines y = 11x + 5 and y = 16 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+5=1611x + 5 = 16
  2. 2

    Subtract 5 from both sides:

    11x+5−5=16−5 ⇒ 11x=1111x + 5 - 5 = 16 - 5 \ \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+5=11+5=16✓11\cdot1 + 5 = 11 + 5 = 16 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 5 = 16\ \Rightarrow\ x = 1 \]
\[ 11x + 5 = 16 \]
\[ 11x + 5 - 5 = 16 - 5 \ \Rightarrow\ 11x = 11 \]
\[ \frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1 \]
\[ 11\cdot1 + 5 = 11 + 5 = 16 \checkmark \]

Trying values of x in 11x + 5 = 16

x11x + 5Equals 16?
-1-6no
05no
116yes
227no
338no

Questions

What is x in 11x + 5 = 16?

The solution of 11x + 5 = 16 is x = 1.

How do you solve 11x + 5 = 16?

Subtract 5 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) + 5 = 16, which is 16.

Similar equations

    Solve 11x + 5 = 16: x = 1 (steps and check) | WordGPT