Check Use substitution to solve the system of equations. \[ \begin{array}{l} -5 x+y=-3 \\ 3 x-8 y=24 \end{array} \]

Step 1 ：First, we solve the first equation for y: \(y = 5x - 3\)

Step 2 ：Next, we substitute this expression for y into the second equation: \(3x - 8(5x - 3) = 24\)

Step 3 ：Now, we simplify the equation: \(3x - 40x + 24 = 24\)

Step 4 ：Combine like terms: \(-37x + 24 = 24\)

Step 5 ：Subtract 24 from both sides: \(-37x = 0\)

Step 6 ：Divide by -37: \(x = 0\)

Step 7 ：Now, we substitute x back into the expression for y: \(y = 5(0) - 3\)

Step 8 ：Simplify: \(y = -3\)

Step 9 ：Finally, we write our answer as an ordered pair: \(\boxed{(0, -3)}\)