Answer :
To solve the problem, we need to find the equation that correctly represents the situation where the difference between [tex]\( x \)[/tex] and 89 is 7.
Step 1: Write the correct equation.
The phrase "the difference between [tex]\( x \)[/tex] and 89 is 7" can be expressed mathematically as:
[tex]\[ x - 89 = 7 \][/tex]
Step 2: Solve the equation for [tex]\( x \)[/tex].
To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We can do this by adding 89 to both sides of the equation:
[tex]\[ x - 89 + 89 = 7 + 89 \][/tex]
This simplifies to:
[tex]\[ x = 96 \][/tex]
Therefore, the correct equation is [tex]\( x - 89 = 7 \)[/tex], and the solution is [tex]\( x = 96 \)[/tex].
Step 1: Write the correct equation.
The phrase "the difference between [tex]\( x \)[/tex] and 89 is 7" can be expressed mathematically as:
[tex]\[ x - 89 = 7 \][/tex]
Step 2: Solve the equation for [tex]\( x \)[/tex].
To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We can do this by adding 89 to both sides of the equation:
[tex]\[ x - 89 + 89 = 7 + 89 \][/tex]
This simplifies to:
[tex]\[ x = 96 \][/tex]
Therefore, the correct equation is [tex]\( x - 89 = 7 \)[/tex], and the solution is [tex]\( x = 96 \)[/tex].
