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Solve 3x + 13 = 61

The solution of 3x + 13 = 61 is x = 16.

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The lines y = 3x + 13 and y = 61 meet at x = 1610121416182022404550556065707580x = 16y = 3x + 13y = 61
The lines y = 3x + 13 and y = 61 meet at x = 16. 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=613x + 13 = 61
  2. 2

    Subtract 13 from both sides:

    3x+13−13=61−13 ⇒ 3x=483x + 13 - 13 = 61 - 13 \ \Rightarrow\ 3x = 48
  3. 3

    Divide both sides by 3:

    3x3=483 ⇒ x=16\frac{3x}{3} = \frac{48}{3} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    3⋅16+13=48+13=61✓3\cdot16 + 13 = 48 + 13 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 61\ \Rightarrow\ x = 16 \]
\[ 3x + 13 = 61 \]
\[ 3x + 13 - 13 = 61 - 13 \ \Rightarrow\ 3x = 48 \]
\[ \frac{3x}{3} = \frac{48}{3} \ \Rightarrow\ x = 16 \]
\[ 3\cdot16 + 13 = 48 + 13 = 61 \checkmark \]

Trying values of x in 3x + 13 = 61

x3x + 13Equals 61?
1455no
1558no
1661yes
1764no
1867no

Questions

What is x in 3x + 13 = 61?

The solution of 3x + 13 = 61 is x = 16.

How do you solve 3x + 13 = 61?

Subtract 13 from both sides to get 3x = 48, then divide both sides by 3 to get x = 16.

How do I check the answer?

Replace x by 16: 3(16) + 13 = 61, which is 61.

Similar equations

    Solve 3x + 13 = 61: x = 16 (steps and check) | WordGPT