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Solve 11x + 1 = 177

The solution of 11x + 1 = 177 is x = 16.

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The lines y = 11x + 1 and y = 177 meet at x = 1610121416182022100120140160180200220240x = 16y = 11x + 1y = 177
The lines y = 11x + 1 and y = 177 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.

    11x+1=17711x + 1 = 177
  2. 2

    Subtract 1 from both sides:

    11x+1−1=177−1 ⇒ 11x=17611x + 1 - 1 = 177 - 1 \ \Rightarrow\ 11x = 176
  3. 3

    Divide both sides by 11:

    11x11=17611 ⇒ x=16\frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    11⋅16+1=176+1=177✓11\cdot16 + 1 = 176 + 1 = 177 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 1 = 177\ \Rightarrow\ x = 16 \]
\[ 11x + 1 = 177 \]
\[ 11x + 1 - 1 = 177 - 1 \ \Rightarrow\ 11x = 176 \]
\[ \frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16 \]
\[ 11\cdot16 + 1 = 176 + 1 = 177 \checkmark \]

Trying values of x in 11x + 1 = 177

x11x + 1Equals 177?
14155no
15166no
16177yes
17188no
18199no

Questions

What is x in 11x + 1 = 177?

The solution of 11x + 1 = 177 is x = 16.

How do you solve 11x + 1 = 177?

Subtract 1 from both sides to get 11x = 176, then divide both sides by 11 to get x = 16.

How do I check the answer?

Replace x by 16: 11(16) + 1 = 177, which is 177.

Similar equations

    Solve 11x + 1 = 177: x = 16 (steps and check) | WordGPT