College

Write the sentence as an equation.

The sum of [tex]$f$[/tex] and 197 is 187.

[tex]f + 197 = 187[/tex]

Answer :

To turn the sentence into an equation:

1. Start by identifying the parts of the sentence. The sentence states, "the sum of [tex]\( f \)[/tex] and 197 is 187."

2. The key operation in this sentence is "sum," which means addition. So, you will add the value of [tex]\( f \)[/tex] to 197.

3. Write this relationship as an equation:
[tex]\[
f + 197 = 187
\][/tex]

4. Now, we need to solve this equation for [tex]\( f \)[/tex]. To isolate [tex]\( f \)[/tex] on one side, subtract 197 from both sides of the equation:
[tex]\[
f = 187 - 197
\][/tex]

5. Simplify the right side:
[tex]\[
f = -10
\][/tex]

So, the value of [tex]\( f \)[/tex] is [tex]\(-10\)[/tex]. The original sentence is represented by the equation [tex]\( f + 197 = 187 \)[/tex], and solving it shows that [tex]\( f \)[/tex] is [tex]\(-10\)[/tex].