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Solve 10x + 11 = 71

The solution of 10x + 11 = 71 is x = 6.

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The lines y = 10x + 11 and y = 71 meet at x = 62468101220406080100120140x = 6y = 10x + 11y = 71
The lines y = 10x + 11 and y = 71 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.

    10x+11=7110x + 11 = 71
  2. 2

    Subtract 11 from both sides:

    10x+11−11=71−11 ⇒ 10x=6010x + 11 - 11 = 71 - 11 \ \Rightarrow\ 10x = 60
  3. 3

    Divide both sides by 10:

    10x10=6010 ⇒ x=6\frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    10⋅6+11=60+11=71✓10\cdot6 + 11 = 60 + 11 = 71 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 11 = 71\ \Rightarrow\ x = 6 \]
\[ 10x + 11 = 71 \]
\[ 10x + 11 - 11 = 71 - 11 \ \Rightarrow\ 10x = 60 \]
\[ \frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6 \]
\[ 10\cdot6 + 11 = 60 + 11 = 71 \checkmark \]

Trying values of x in 10x + 11 = 71

x10x + 11Equals 71?
451no
561no
671yes
781no
891no

Questions

What is x in 10x + 11 = 71?

The solution of 10x + 11 = 71 is x = 6.

How do you solve 10x + 11 = 71?

Subtract 11 from both sides to get 10x = 60, then divide both sides by 10 to get x = 6.

How do I check the answer?

Replace x by 6: 10(6) + 11 = 71, which is 71.

Similar equations

    Solve 10x + 11 = 71: x = 6 (steps and check) | WordGPT