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Solve 6x + 13 = 97

The solution of 6x + 13 = 97 is x = 14.

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The lines y = 6x + 13 and y = 97 meet at x = 14810121416182060708090100110120130140x = 14y = 6x + 13y = 97
The lines y = 6x + 13 and y = 97 meet at x = 14. 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.

    6x+13=976x + 13 = 97
  2. 2

    Subtract 13 from both sides:

    6x+13−13=97−13 ⇒ 6x=846x + 13 - 13 = 97 - 13 \ \Rightarrow\ 6x = 84
  3. 3

    Divide both sides by 6:

    6x6=846 ⇒ x=14\frac{6x}{6} = \frac{84}{6} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    6⋅14+13=84+13=97✓6\cdot14 + 13 = 84 + 13 = 97 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 13 = 97\ \Rightarrow\ x = 14 \]
\[ 6x + 13 = 97 \]
\[ 6x + 13 - 13 = 97 - 13 \ \Rightarrow\ 6x = 84 \]
\[ \frac{6x}{6} = \frac{84}{6} \ \Rightarrow\ x = 14 \]
\[ 6\cdot14 + 13 = 84 + 13 = 97 \checkmark \]

Trying values of x in 6x + 13 = 97

x6x + 13Equals 97?
1285no
1391no
1497yes
15103no
16109no

Questions

What is x in 6x + 13 = 97?

The solution of 6x + 13 = 97 is x = 14.

How do you solve 6x + 13 = 97?

Subtract 13 from both sides to get 6x = 84, then divide both sides by 6 to get x = 14.

How do I check the answer?

Replace x by 14: 6(14) + 13 = 97, which is 97.

Similar equations

    Solve 6x + 13 = 97: x = 14 (steps and check) | WordGPT