Question

-5x + y = -3
3x - 8y = 24

Explanation:

Step1: Solve first equation for y

From \(-5x + y = -3\), add \(5x\) to both sides: \(y = 5x - 3\)

Step2: Substitute y into second equation

Substitute \(y = 5x - 3\) into \(3x - 8y = 24\):
\(3x - 8(5x - 3) = 24\)
Expand: \(3x - 40x + 24 = 24\)
Simplify: \(-37x + 24 = 24\)
Subtract 24: \(-37x = 0\)
Thus, \(x = 0\)

Step3: Find y using x = 0

Substitute \(x = 0\) into \(y = 5x - 3\):
\(y = 5(0) - 3 = -3\)

Answer:

\(x = 0\), \(y = -3\)