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Solve 3x + 13 = 16

The solution of 3x + 13 = 16 is x = 1.

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The lines y = 3x + 13 and y = 16 meet at x = 1-4-2246-55101520253035x = 1y = 3x + 13y = 16
The lines y = 3x + 13 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.

    3x+13=163x + 13 = 16
  2. 2

    Subtract 13 from both sides:

    3x+13−13=16−13 ⇒ 3x=33x + 13 - 13 = 16 - 13 \ \Rightarrow\ 3x = 3
  3. 3

    Divide both sides by 3:

    3x3=33 ⇒ x=1\frac{3x}{3} = \frac{3}{3} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    3⋅1+13=3+13=16✓3\cdot1 + 13 = 3 + 13 = 16 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 16\ \Rightarrow\ x = 1 \]
\[ 3x + 13 = 16 \]
\[ 3x + 13 - 13 = 16 - 13 \ \Rightarrow\ 3x = 3 \]
\[ \frac{3x}{3} = \frac{3}{3} \ \Rightarrow\ x = 1 \]
\[ 3\cdot1 + 13 = 3 + 13 = 16 \checkmark \]

Trying values of x in 3x + 13 = 16

x3x + 13Equals 16?
-110no
013no
116yes
219no
322no

Questions

What is x in 3x + 13 = 16?

The solution of 3x + 13 = 16 is x = 1.

How do you solve 3x + 13 = 16?

Subtract 13 from both sides to get 3x = 3, then divide both sides by 3 to get x = 1.

How do I check the answer?

Replace x by 1: 3(1) + 13 = 16, which is 16.

Similar equations

    Solve 3x + 13 = 16: x = 1 (steps and check) | WordGPT