Final answer:
To find the value of x in the equation 2x/9 = 16/-3, cross-multiply the fractions and then solve for x by isolating it on one side of the equation.
Step-by-step explanation:
To find the value of x in the equation 2x/9 = 16/-3, we need to solve for x. The first step is to cross-multiply the fractions. This means multiplying the numerator of the first fraction by the denominator of the second fraction, and vice versa. So, we have (2x)(-3) = (9)(16).
Next, we simplify the equation by multiplying the values together: -6x = 144.
To isolate x, we divide both sides of the equation by -6: -6x/-6 = 144/-6, which simplifies to x = -24. Therefore, the value of x is -24.