10) -5x + y = -3\n3x - 8y = 24

Answer

Explanation:

Step1: Express y from the first - equation

From (-5x + y=-3), we get (y = 5x - 3).

Step2: Substitute y into the second - equation

Substitute (y = 5x - 3) into (3x-8y = 24). Then (3x-8(5x - 3)=24). Expand the left - hand side: (3x-40x + 24 = 24). Combine like terms: (-37x+24 = 24). Subtract 24 from both sides: (-37x=24 - 24), so (-37x = 0), and (x = 0).

Step3: Find the value of y

Substitute (x = 0) into (y = 5x - 3). Then (y=5\times0 - 3=-3).

Answer:

(x = 0,y=-3)