College

Is [tex]x=8[/tex] a solution to the equation [tex]x+7=15[/tex]?

A. No, because [tex]8+7=15[/tex] is not true.

B. Yes, because [tex]8+7=15[/tex] is true.

C. Yes, because [tex]8+7=15[/tex] is not true.

D. No, because [tex]8+7 \neq 15[/tex] is true.

Answer :

Let's determine if [tex]\( x = 8 \)[/tex] is a solution to the equation [tex]\( x + 7 = 15 \)[/tex].

Step 1: Substitute [tex]\( x = 8 \)[/tex] into the equation.

Plugging in 8 for [tex]\( x \)[/tex], the equation becomes:

[tex]\[ 8 + 7 = 15 \][/tex]

Step 2: Perform the addition.

Calculate the left side:

[tex]\[ 8 + 7 \][/tex]

This equals:

[tex]\[ 15 \][/tex]

Step 3: Compare the two sides.

Since the left side (15) is equal to the right side (15), the equation holds true when [tex]\( x = 8 \)[/tex].

Therefore, the correct answer is:

B. Yes, because [tex]\( 8 + 7 = 15 \)[/tex] is true.