Answer:
[tex]y= - \frac{3x}{5} + 6[/tex]
Step-by-step explanation:
The given linear equation is
[tex]3x + 5y = 30[/tex]
To solve for y, we first subtract 3x from both sides to obtain:
[tex]5y = 30 - 3x[/tex]
Divide through by 5
[tex] \frac{5y}{5} = \frac{30}{5} - \frac{3x}{5} [/tex]
This simplifies to
[tex]y= 6- \frac{3x}{5} [/tex]
Or
[tex]y= - \frac{3x}{5} + 6[/tex]
