How many solutions does this equation have? –2f + 2f = 0

Mathematics · High School · Tue Nov 03 2020

Answered on

The given equation can be categorized to have an infinite number of solutions, since any value for f makes the numerical equation true.

Solution:

-2f + 2f  = 0

If we solve for the value of, we can clearly see that both sides are equal to each other, meaning any solution will make the equation true

2f = 2f

f = 1

2(1) = 2(1)

2 = 2

f = 2

2(2) = 2(2)

4 = 4

This can be also supported by solving the equation directly.

-2f + 2f = 0

-2f and 2f has the same variable f and subtracting them would result to 0.