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Solve 10x + 11 = 91

The solution of 10x + 11 = 91 is x = 8.

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The lines y = 10x + 11 and y = 91 meet at x = 8246810121420406080100120140160x = 8y = 10x + 11y = 91
The lines y = 10x + 11 and y = 91 meet at x = 8. 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=9110x + 11 = 91
  2. 2

    Subtract 11 from both sides:

    10x+11−11=91−11 ⇒ 10x=8010x + 11 - 11 = 91 - 11 \ \Rightarrow\ 10x = 80
  3. 3

    Divide both sides by 10:

    10x10=8010 ⇒ x=8\frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    10⋅8+11=80+11=91✓10\cdot8 + 11 = 80 + 11 = 91 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 11 = 91\ \Rightarrow\ x = 8 \]
\[ 10x + 11 = 91 \]
\[ 10x + 11 - 11 = 91 - 11 \ \Rightarrow\ 10x = 80 \]
\[ \frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8 \]
\[ 10\cdot8 + 11 = 80 + 11 = 91 \checkmark \]

Trying values of x in 10x + 11 = 91

x10x + 11Equals 91?
671no
781no
891yes
9101no
10111no

Questions

What is x in 10x + 11 = 91?

The solution of 10x + 11 = 91 is x = 8.

How do you solve 10x + 11 = 91?

Subtract 11 from both sides to get 10x = 80, then divide both sides by 10 to get x = 8.

How do I check the answer?

Replace x by 8: 10(8) + 11 = 91, which is 91.

Similar equations

    Solve 10x + 11 = 91: x = 8 (steps and check) | WordGPT