Solve negative five-ninths equals negative two v minus one-third for v.
choices
four-ninths
negative one-eighteenth
one-ninth
five-sixths
ONE-NINTH
To solve the equation -5/9 = -2v - 1/3 for v, we need to isolate v on one side of the equation.
Step 1: Get rid of the fraction by multiplying both sides of the equation by the least common denominator (LCD), which is 9 and 3, in this case. By doing this, we eliminate the denominators and work with whole numbers.
-5/9 * 9 = -2v * 9 - 1/3 * 9
Step 2: Simplify the equation
-5 = -18v - 3
Step 3: Isolate the variable term by moving the constant term (-3) to the other side of the equation by adding 3 to both sides.
-5 + 3 = -18v
-2 = -18v
Step 4: Solve for v by dividing both sides of the equation by -18.
v = -2 / -18
v = 1/9
So the value of v that satisfies the equation -5/9 = -2v - 1/3 is v = 1/9.
Therefore, the correct answer choice is one-ninth.