Final answer:
To solve the equation (-4/9)x = (16/27), multiply both sides of the equation by the reciprocal of (-4/9) to get x on one side and simplify the fraction on the other side.
Step-by-step explanation:
To solve the equation (-4/9)x = (16/27), we can multiply both sides of the equation by the reciprocal of (-4/9), which is (-9/4). This will cancel out the fraction on the left side. So, multiplying both sides of the equation by (-9/4), we get:
(-9/4)(-4/9)x = (-9/4)(16/27)
On the left side, the (-4/9) and (-9/4) will cancel out, leaving us with x. On the right side, we can simplify the fraction by multiplying the numerators and multiplying the denominators:
x = (-9/4)(16/27)