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