Look at this linear equation. 3x + 5y = 30 Which of the following equations can be used to solve for y in the linear equation above? A. y = - x + 30 B. y = 3x + 6 C. y = - x + 6 D. y = x + 30

Answer:[tex]y=-\frac{3}{5} x+6[/tex]Step-by-step explanation:Lets solve the equation [tex]3x+5y=30[/tex] for [tex]y[/tex] step-by-step:Step 1. Subtract [tex]3x[/tex] from both sides of the equation [tex]3x+5y=30[/tex][tex]3x-3x+5y=-3x+30[/tex][tex]5y=-3x+30[/tex]Step 2. Divide both sides of the equation by 5[tex]\frac{5y}{5} =\frac{-3x+30}{5}[/tex][tex]y=\frac{-3x+30}{5}[/tex][tex]y=-\frac{3}{5}x+\frac{30}{5}[/tex][tex]y=-\frac{3}{5} x+6[/tex]We can conclude that the equation that can be used for solve for [tex]y[/tex] is [tex]y=-\frac{3}{5} x+6[/tex]