Answer:
[tex]y=-\frac{3}{5}x+6[/tex]
Step-by-step explanation:
The given linear equation is
[tex]3x+5y=30[/tex]
We need to solve the above equation for y.
Using subtraction property of equality, subtract 3x from both sides.
[tex]3x+5y-3x=30-3x[/tex]
[tex]5y=30-3x[/tex]
Using division property of equality, divide both sides by 5.
[tex]y=\frac{30-3x}{5}[/tex]
[tex]y=\frac{30}{5}-\frac{3x}{5}[/tex]
[tex]y=6-\frac{3}{5}x[/tex]
Arrange the terms.
[tex]y=-\frac{3}{5}x+6[/tex]
Therefore, the required equation is [tex]y=-\frac{3}{5}x+6[/tex].
