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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