We need to solve this by looking at each answer choice.
A. [tex]- \frac{w}{9}=8[/tex]
To solve for w, we need to multiply by -9 on both sides.
So, [tex]-\frac{w}{9} \times -9 = 8 \times -9\\\\w = -72[/tex]
This is not a positive solution. So eliminate A.
B. [tex](-12) = \frac{y}{(-3)}[/tex]
To solve for y, we need to multiply by -3 on both sides.
So, [tex](-12) \times (-3) = \frac{y}{(-3)} \times (-3)\\\\y = 36[/tex]
This is a positive solution. This is one of our answers.
C. [tex][tex]-4\times \frac{-5}{2}= -\frac{2}{5}z\times -\frac{5}{2}\\\\z = 10[/tex][/tex]
We need to multiply by -5/2 on both sides to solve for z.
This is a positive solution. This is one of our answers.
D. [tex]\frac{1}{7}x = -2[/tex]
We need to multiply by 7 on both sides to solve for x.
So, [tex]\frac{1}{7} x \times 7 = -2 \times 7\\\\x = -14[/tex]
This is a negative solution. So this is not the answer.
So your final answer is B and C.
