Nineteen less than nine times a number is equal to 11 more than seven times the number
Mathematics · Middle School · Mon Jan 18 2021
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Given the numerical statement:
Nineteen less than nine times a number is equal to 11 more than seven times the number
Solution:
The given numerical statement can be written as,
19 - 9x = 11 + 7x
In order to determine the number, we simply solve for the value of x. The first step is to transpose -9x and 11 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
19 - 9x = 11 + 7x
19 - 11 = 7x + 9x
8 = 16x
Divide both sides by 16 in order to cancel out 16x, leaving behind x.
16x/16 = 8/16
x = 8/16
x = ½
Final answer:
x = ½