WordGPT

Solve 10x + 11 = 171

The solution of 10x + 11 = 171 is x = 16.

Explain it step by step in chatMake a short video of it
The lines y = 10x + 11 and y = 171 meet at x = 1610121416182022100120140160180200220240x = 16y = 10x + 11y = 171
The lines y = 10x + 11 and y = 171 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.

    10x+11=17110x + 11 = 171
  2. 2

    Subtract 11 from both sides:

    10x+11−11=171−11 ⇒ 10x=16010x + 11 - 11 = 171 - 11 \ \Rightarrow\ 10x = 160
  3. 3

    Divide both sides by 10:

    10x10=16010 ⇒ x=16\frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    10⋅16+11=160+11=171✓10\cdot16 + 11 = 160 + 11 = 171 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 11 = 171\ \Rightarrow\ x = 16 \]
\[ 10x + 11 = 171 \]
\[ 10x + 11 - 11 = 171 - 11 \ \Rightarrow\ 10x = 160 \]
\[ \frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16 \]
\[ 10\cdot16 + 11 = 160 + 11 = 171 \checkmark \]

Trying values of x in 10x + 11 = 171

x10x + 11Equals 171?
14151no
15161no
16171yes
17181no
18191no

Questions

What is x in 10x + 11 = 171?

The solution of 10x + 11 = 171 is x = 16.

How do you solve 10x + 11 = 171?

Subtract 11 from both sides to get 10x = 160, then divide both sides by 10 to get x = 16.

How do I check the answer?

Replace x by 16: 10(16) + 11 = 171, which is 171.

Similar equations

    Solve 10x + 11 = 171: x = 16 (steps and check) | WordGPT