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Solve 9x āˆ’ 11 = 88

The solution of 9x āˆ’ 11 = 88 is x = 11.

The lines y = 9x āˆ’ 11 and y = 88 meet at x = 116810121416406080100120140x = 11y = 9x āˆ’ 11y = 88
The lines y = 9x āˆ’ 11 and y = 88 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 subtraction, then the multiplication.

    9xāˆ’11=889x - 11 = 88
  2. 2

    Add 11 to both sides:

    9xāˆ’11+11=88+11 ⇒ 9x=999x - 11 + 11 = 88 + 11 \ \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.

    9ā‹…11āˆ’11=99āˆ’11=88āœ“9\cdot11 - 11 = 99 - 11 = 88 \checkmark
LaTeX source of the formulas on this page
\[ 9x - 11 = 88\ \Rightarrow\ x = 11 \]
\[ 9x - 11 = 88 \]
\[ 9x - 11 + 11 = 88 + 11 \ \Rightarrow\ 9x = 99 \]
\[ \frac{9x}{9} = \frac{99}{9} \ \Rightarrow\ x = 11 \]
\[ 9\cdot11 - 11 = 99 - 11 = 88 \checkmark \]

Trying values of x in 9x āˆ’ 11 = 88

x9x āˆ’ 11Equals 88?
970no
1079no
1188yes
1297no
13106no

Questions

What is x in 9x āˆ’ 11 = 88?

The solution of 9x āˆ’ 11 = 88 is x = 11.

How do you solve 9x āˆ’ 11 = 88?

Add 11 to 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) āˆ’ 11 = 88, which is 88.

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