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Solve 9x + 1 = 100

The solution of 9x + 1 = 100 is x = 11.

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The lines y = 9x + 1 and y = 100 meet at x = 116810121416406080100120140160x = 11y = 9x + 1y = 100
The lines y = 9x + 1 and y = 100 meet at x = 11. 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=1009x + 1 = 100
  2. 2

    Subtract 1 from both sides:

    9x+1−1=100−1 ⇒ 9x=999x + 1 - 1 = 100 - 1 \ \Rightarrow\ 9x = 99
  3. 3

    Divide both sides by 9:

    9x9=999 ⇒ x=11\frac{9x}{9} = \frac{99}{9} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    9⋅11+1=99+1=100✓9\cdot11 + 1 = 99 + 1 = 100 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 1 = 100\ \Rightarrow\ x = 11 \]
\[ 9x + 1 = 100 \]
\[ 9x + 1 - 1 = 100 - 1 \ \Rightarrow\ 9x = 99 \]
\[ \frac{9x}{9} = \frac{99}{9} \ \Rightarrow\ x = 11 \]
\[ 9\cdot11 + 1 = 99 + 1 = 100 \checkmark \]

Trying values of x in 9x + 1 = 100

x9x + 1Equals 100?
982no
1091no
11100yes
12109no
13118no

Questions

What is x in 9x + 1 = 100?

The solution of 9x + 1 = 100 is x = 11.

How do you solve 9x + 1 = 100?

Subtract 1 from both sides to get 9x = 99, then divide both sides by 9 to get x = 11.

How do I check the answer?

Replace x by 11: 9(11) + 1 = 100, which is 100.

Similar equations

    Solve 9x + 1 = 100: x = 11 (steps and check) | WordGPT