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Solve 9x + 1 = 91

The solution of 9x + 1 = 91 is x = 10.

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The lines y = 9x + 1 and y = 91 meet at x = 1046810121416406080100120140x = 10y = 9x + 1y = 91
The lines y = 9x + 1 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.

    9x+1=919x + 1 = 91
  2. 2

    Subtract 1 from both sides:

    9x+1−1=91−1 ⇒ 9x=909x + 1 - 1 = 91 - 1 \ \Rightarrow\ 9x = 90
  3. 3

    Divide both sides by 9:

    9x9=909 ⇒ x=10\frac{9x}{9} = \frac{90}{9} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    9⋅10+1=90+1=91✓9\cdot10 + 1 = 90 + 1 = 91 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 1 = 91\ \Rightarrow\ x = 10 \]
\[ 9x + 1 = 91 \]
\[ 9x + 1 - 1 = 91 - 1 \ \Rightarrow\ 9x = 90 \]
\[ \frac{9x}{9} = \frac{90}{9} \ \Rightarrow\ x = 10 \]
\[ 9\cdot10 + 1 = 90 + 1 = 91 \checkmark \]

Trying values of x in 9x + 1 = 91

x9x + 1Equals 91?
873no
982no
1091yes
11100no
12109no

Questions

What is x in 9x + 1 = 91?

The solution of 9x + 1 = 91 is x = 10.

How do you solve 9x + 1 = 91?

Subtract 1 from both sides to get 9x = 90, then divide both sides by 9 to get x = 10.

How do I check the answer?

Replace x by 10: 9(10) + 1 = 91, which is 91.

Similar equations

    Solve 9x + 1 = 91: x = 10 (steps and check) | WordGPT