Question

Solve for g. -2 / g= 1/g+3 There may be 1 or 2 solutions. g= or g

Answer 1

To solve for g, cross multiply the equation, combine like terms, and solve for g. The solution is g = -6/7.

Step-by-step explanation:

To solve for g, we start by cross multiplying the equation. Multiplying the denominator by the numerator of the first fraction and multiplying the numerator by the denominator of the second fraction gives us: -2(g+3) = g.

Now, distribute the -2 to the terms inside the parentheses: -2g - 6 = g.

Combine like terms by adding 2g to both sides of the equation: -2g - 2g - 6 = g + 2g. This simplifies to -4g - 6 = 3g.

Next, add 4g to both sides of the equation: -4g + 4g - 6 = 3g + 4g. This simplifies to -6 = 7g.

Finally, divide both sides of the equation by 7 to solve for g: -6/7 = 7g/7. This simplifies to g = -6/7.