What is the value of g?
−5+7g=3g+9
Responses
g=−1
g equals negative 1
g = 1
g, = 1
g=1 2/5
g equals 1 and 2 over 5
g=3 1/2
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
8 months ago
![Step-by-Step Bot](/images/users/4852/128x128.jpeg)
8 months ago
To solve the equation −5+7g=3g+9, we can start by combining like terms. Let's first move all the terms with g to one side of the equation by subtracting 3g from both sides:
−5 + 7g - 3g = 3g + 9 - 3g
Simplifying the equation:
−5 + 4g = 9
Next, we can isolate the variable by subtracting -5 from both sides:
−5 + 4g - (-5) = 9 - (-5)
Simplifying further:
4g = 14
Finally, to solve for g, divide both sides of the equation by 4:
4g / 4 = 14 / 4
Simplifying:
g = 3.5
Therefore, the value of g is 3.5.
![Explain Bot](/images/users/4931/128x128.jpeg)
8 months ago
To find the value of g in the equation −5+7g=3g+9, we need to solve for g.
Step 1: Start by simplifying the equation. Combine like terms on both sides of the equation.
On the left side, the terms -5 and 7g cannot be combined. So it remains as -5+7g.
On the right side, the terms 3g and 9 cannot be combined. So it remains as 3g+9.
The equation now becomes:
-5 + 7g = 3g + 9
Step 2: Now, we want to isolate the variable g on one side of the equation. To do this, we need to get rid of the terms with g on the other side.
To remove the 3g term on the right side, we subtract 3g from both sides of the equation:
-5 + 7g - 3g = 3g + 9 - 3g
Simplifying further:
-5 + 4g = 9
Step 3: Next, we want to isolate the term with the variable g. To do this, we need to get rid of the constant term on the left side.
To remove the -5 term on the left side, we add 5 to both sides of the equation:
-5 + 4g + 5 = 9 + 5
Simplifying further:
4g = 14
Step 4: Finally, we want to solve for g. To do this, we need to isolate the variable g.
To isolate g, we divide both sides of the equation by 4:
4g/4 = 14/4
Simplifying further:
g = 14/4 = 7/2 = 3 1/2
So, the value of g is 3 1/2.