Answer:
y = [tex]\frac{2w}{x^{2}}[/tex]
Step-by-step explanation:
To solve an equation for one of its variable do that
- Underline the variable
- Separate it on one side and the other terms on the other side
- Make its coefficient equal 1
Let us use these steps to solve our question
∵ w = [tex]\frac{1}{2}[/tex] x²y
→ Underline y
∴ w = [tex]\frac{1}{2}[/tex] x²y
→ Multiply both sides by 2 to cancel the denominator 2
∵ 2 × w = 2 × [tex]\frac{1}{2}[/tex] x²y
∴ 2w = x²y
→ Divide both sides by x² to move it to the left side
∵ [tex]\frac{2w}{x^{2}}[/tex] = [tex]\frac{x^{2}y}{x^{2}}[/tex]
∴ [tex]\frac{2w}{x^{2}}[/tex] = y
→ Switch the two sides
∴ y = [tex]\frac{2w}{x^{2}}[/tex]
