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Solve 8x + 11 = 91

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

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The lines y = 8x + 11 and y = 91 meet at x = 1046810121416406080100120140x = 10y = 8x + 11y = 91
The lines y = 8x + 11 and y = 91 meet at x = 10. 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.

    8x+11=918x + 11 = 91
  2. 2

    Subtract 11 from both sides:

    8x+11−11=91−11 ⇒ 8x=808x + 11 - 11 = 91 - 11 \ \Rightarrow\ 8x = 80
  3. 3

    Divide both sides by 8:

    8x8=808 ⇒ x=10\frac{8x}{8} = \frac{80}{8} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    8⋅10+11=80+11=91✓8\cdot10 + 11 = 80 + 11 = 91 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 11 = 91\ \Rightarrow\ x = 10 \]
\[ 8x + 11 = 91 \]
\[ 8x + 11 - 11 = 91 - 11 \ \Rightarrow\ 8x = 80 \]
\[ \frac{8x}{8} = \frac{80}{8} \ \Rightarrow\ x = 10 \]
\[ 8\cdot10 + 11 = 80 + 11 = 91 \checkmark \]

Trying values of x in 8x + 11 = 91

x8x + 11Equals 91?
875no
983no
1091yes
1199no
12107no

Questions

What is x in 8x + 11 = 91?

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

How do you solve 8x + 11 = 91?

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

How do I check the answer?

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

Similar equations

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