DETERMINING WHETHER VALUES ARE SOLUTIONS
About "Determining whether values are solutions"
Determining whether values are solutions :
An equation is a mathematical statement that two expressions are equal. An equation may or may not contain variables. For an equation that contains a variable, a solution of the equation is a value of the variable that makes the equation true.
Determining whether values are solutions - Examples
Example 1 :
Determine whether the x = 6 is a solution of the equation x + 9 = 15.
Solution :
Plug x = 6 in the given equation
6 + 9 = 15 ?
Add 6 and 9
15 = 15 ?
For the question 15 = 15 ?, we have to say the answer "yes".
Because 15 is equal to 15 (Same values).
Hence, 6 is a solution to the equation x + 9 = 15.
Example 2 :
Determine whether the y = 8 is a solution of the equation y/4 = 32.
Solution :
Plug y = 8 in the given equation
8 / 4 = 32 ?
Divide 8 by 4
2 = 32 ?
For the question 2 = 32 ?, we have to say the answer "No".
Because 2 is not equal to 15 (Different values).
Hence, 8 is not a solution to the equation y/4 = 32.
Example 3 :
Determine whether the x = 9 is a solution of the equation 8x = 72.
Solution :
Plug x = 9 in the given equation
8(9) = 72 ?
Multiply 8 and 9
72 = 72 ?
For the question 72 = 72 ?, we have to say the answer "yes".
Because 72 is equal to 72 (Same values).
Hence, 9 is a solution to the equation 8x = 72.
Example 4 :
Determine whether the n = 5 is a solution of the equation 11 = n + 6.
Solution :
Plug n = 5 in the given equation
11 = 5 + 6 ?
Add 5 and 6
11 = 11 ?
For the question 11 = 11 ?, we have to say the answer "yes".
Because 11 is equal to 11 (Same values).
Hence, n = 5 is a solution of the equation 11 = n + 6.
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