Check
Use substitution to solve the system of equations.
\[
\begin{array}{l}
-5 x+y=-3 \\
3 x-8 y=24
\end{array}
\]
Finally, we write our answer as an ordered pair: \(\boxed{(0, -3)}\)
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: \(\boxed{(0, -3)}\)