Solve for v.
v+6/5=3/5v-7/3
Simplify your answer as much as possible. This answer cannot be a radical. Thanks
To solve for v, we need to isolate v on one side of the equation.
Given the equation:
v + 6/5 = 3/5v - 7/3
First, let's remove the fractions by multiplying each term by the least common denominator (LCD), which, in this case, is 15:
15(v + 6/5) = 15(3/5v - 7/3)
Expanding both sides of the equation:
15v + 18 = 9v - 35
Next, let's collect the like terms on each side:
15v - 9v = -35 - 18
Simplifying:
6v = -53
Finally, divide both sides of the equation by 6 to solve for v:
v = -53/6
Note: Since you specified that the answer should not be a radical, we leave it as a fraction, -53/6, which is the simplest form.