College

When [tex]x = 5[/tex] in the equation:

[tex]\[

\begin{array}{c}

x + 7 = 15 \\

(5) + 7 = 15 \\

12 = 15

\end{array}

\][/tex]

Is the statement TRUE or FALSE?

Answer :

Let's go through the equation step by step to determine whether it's true or false when [tex]\( x = 5 \)[/tex].

The given equation is:
[tex]\[ x + 7 = 15 \][/tex]

Step 1: Substitute [tex]\( x = 5 \)[/tex] into the equation.
[tex]\[ 5 + 7 = 15 \][/tex]

Step 2: Calculate the left-hand side of the equation.
[tex]\[ 5 + 7 = 12 \][/tex]

Step 3: Compare both sides of the equation.
The left-hand side equals 12, while the right-hand side equals 15:
[tex]\[ 12 \neq 15 \][/tex]

Since the left-hand side does not equal the right-hand side, the statement is FALSE.

So, when [tex]\( x = 5 \)[/tex], the equation [tex]\( x + 7 = 15 \)[/tex] is not true.

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