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Solve 12x + 13 = 61

The solution of 12x + 13 = 61 is x = 4.

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The lines y = 12x + 13 and y = 61 meet at x = 4-2246810-2020406080100120140x = 4y = 12x + 13y = 61
The lines y = 12x + 13 and y = 61 meet at x = 4. 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.

    12x+13=6112x + 13 = 61
  2. 2

    Subtract 13 from both sides:

    12x+13−13=61−13 ⇒ 12x=4812x + 13 - 13 = 61 - 13 \ \Rightarrow\ 12x = 48
  3. 3

    Divide both sides by 12:

    12x12=4812 ⇒ x=4\frac{12x}{12} = \frac{48}{12} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    12⋅4+13=48+13=61✓12\cdot4 + 13 = 48 + 13 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 61\ \Rightarrow\ x = 4 \]
\[ 12x + 13 = 61 \]
\[ 12x + 13 - 13 = 61 - 13 \ \Rightarrow\ 12x = 48 \]
\[ \frac{12x}{12} = \frac{48}{12} \ \Rightarrow\ x = 4 \]
\[ 12\cdot4 + 13 = 48 + 13 = 61 \checkmark \]

Trying values of x in 12x + 13 = 61

x12x + 13Equals 61?
237no
349no
461yes
573no
685no

Questions

What is x in 12x + 13 = 61?

The solution of 12x + 13 = 61 is x = 4.

How do you solve 12x + 13 = 61?

Subtract 13 from both sides to get 12x = 48, then divide both sides by 12 to get x = 4.

How do I check the answer?

Replace x by 4: 12(4) + 13 = 61, which is 61.

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    Solve 12x + 13 = 61: x = 4 (steps and check) | WordGPT