help please. show work

Accepted Solution

Answer: y = [tex]\frac{2w}{x^{2}}[/tex] Step-by-step explanation:To solve an equation for one of its variable do thatUnderline the variableSeparate it on one side and the other terms on the other sideMake its coefficient equal 1Let 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]