-1/7g + 5/6g=9
You just solve for g...
I am going to assume that you mean:
(-1/7) g + (5/6) g = 9
(-6/42) g + (35/42) g = 9
(29/42)g = 9
29 g = 9*42
g = 9*42/29
To solve for g in the equation -1/7g + 5/6g = 9, we need to simplify and combine the like terms on the left side of the equation.
First, let's find a common denominator for the fractions. The least common multiple (LCM) of 7 and 6 is 42. Now we can rewrite the equation with a common denominator:
(-6/42)g + (35/42)g = 9
Next, we can combine the like terms by adding the coefficients of g:
(-6/42 + 35/42)g = 9
To simplify the fraction, we can add the numerators but leave the denominator unchanged:
(29/42)g = 9
Now to solve for g, we can multiply both sides of the equation by the reciprocal of the coefficient of g. The reciprocal of 29/42 is 42/29. By multiplying both sides by 42/29, we isolate g:
(29/42g) * (42/29) = 9 * (42/29)
On the left side, the (42/29) cancels out with the (29/42), leaving:
g = (9 * 42) / 29
Calculating the numerator and denominator:
g = 378 / 29
Therefore, the solution for g is:
g ≈ 13.03