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Solve 11x + 1 = 67

The solution of 11x + 1 = 67 is x = 6.

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The lines y = 11x + 1 and y = 67 meet at x = 62468101220406080100120140x = 6y = 11x + 1y = 67
The lines y = 11x + 1 and y = 67 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+1=6711x + 1 = 67
  2. 2

    Subtract 1 from both sides:

    11x+1−1=67−1 ⇒ 11x=6611x + 1 - 1 = 67 - 1 \ \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+1=66+1=67✓11\cdot6 + 1 = 66 + 1 = 67 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 1 = 67\ \Rightarrow\ x = 6 \]
\[ 11x + 1 = 67 \]
\[ 11x + 1 - 1 = 67 - 1 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 + 1 = 66 + 1 = 67 \checkmark \]

Trying values of x in 11x + 1 = 67

x11x + 1Equals 67?
445no
556no
667yes
778no
889no

Questions

What is x in 11x + 1 = 67?

The solution of 11x + 1 = 67 is x = 6.

How do you solve 11x + 1 = 67?

Subtract 1 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) + 1 = 67, which is 67.

Similar equations

    Solve 11x + 1 = 67: x = 6 (steps and check) | WordGPT