Question

Is 1/2g - 4 = 2g - 1/2g + 4 a one solution problem?
A. True
B. False

Answer 1

The equation 1/2g - 4 = 2g - 1/2g + 4 has one solution which is g = -8.

Step-by-step explanation:

In order to determine if the equation 1/2g - 4 = 2g - 1/2g + 4 has one solution, we need to simplify it and see if we end up with a true statement. Let's start by combining like terms on both sides of the equation:

On the left side, 1/2g and -1/2g cancel each other out, leaving us with just g:

g - 4 = 2g + 4

Now, subtract g from both sides of the equation:

g - g - 4 = 2g - g + 4

On the left side, g - g equals 0g, which simplifies to 0:

0 - 4 = g + 4

Combine the constants:

-4 = g + 4

Now, subtract 4 from both sides:

-4 - 4 = g + 4 - 4

On the right side, 4 - 4 equals 0, which simplifies to:

-8 = g

So, the solution to the equation is g = -8.