51.0k views
0 votes
Is 1/2g - 4 = 2g - 1/2g + 4 a one solution problem?
A. True
B. False

User Chandi
by
8.6k points

1 Answer

3 votes

Final answer:

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.

User MucaP
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories