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Solve 11x + 13 = 79

The solution of 11x + 13 = 79 is x = 6.

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The lines y = 11x + 13 and y = 79 meet at x = 62468101220406080100120140x = 6y = 11x + 13y = 79
The lines y = 11x + 13 and y = 79 meet at x = 6. 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+13=7911x + 13 = 79
  2. 2

    Subtract 13 from both sides:

    11x+13−13=79−13 ⇒ 11x=6611x + 13 - 13 = 79 - 13 \ \Rightarrow\ 11x = 66
  3. 3

    Divide both sides by 11:

    11x11=6611 ⇒ x=6\frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    11⋅6+13=66+13=79✓11\cdot6 + 13 = 66 + 13 = 79 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 13 = 79\ \Rightarrow\ x = 6 \]
\[ 11x + 13 = 79 \]
\[ 11x + 13 - 13 = 79 - 13 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 + 13 = 66 + 13 = 79 \checkmark \]

Trying values of x in 11x + 13 = 79

x11x + 13Equals 79?
457no
568no
679yes
790no
8101no

Questions

What is x in 11x + 13 = 79?

The solution of 11x + 13 = 79 is x = 6.

How do you solve 11x + 13 = 79?

Subtract 13 from both sides to get 11x = 66, then divide both sides by 11 to get x = 6.

How do I check the answer?

Replace x by 6: 11(6) + 13 = 79, which is 79.

Similar equations

    Solve 11x + 13 = 79: x = 6 (steps and check) | WordGPT