I see that you've uploaded a worksheet on solving systems of equations by substitution. I can help you solve these problems and match the answers to the corresponding letters for the riddle. Let me process the image and extract the equations for solving.I'll solve each system step by step and match the answers to the given choices. Here’s the breakdown:

Problem 1:

$x + y = 2$ $5x - 4y = -3$ Solve for $y$ in terms of $x$: $y = 2 - x$ Substituting into the second equation: $5x - 4(2 - x) = -3$ $5x - 8 + 4x = -3$ $9x = 5$ $x = \frac{5}{9}$ Substituting back: $y = 2 - \frac{5}{9} = \frac{18}{9} - \frac{5}{9} = \frac{13}{9}$

No integer solution—let’s move to the next problem.

Problem 2:

$3x - 8y = 24$ $y = x - 8$ Substituting: $3x - 8(x - 8) = 24$ $3x - 8x + 64 = 24$ $-5x + 64 = 24$ $-5x = -40$ $x = 8$ Substituting: $y = 8 - 8 = 0$ Solution: (8, 0) → Matches option F.

Problem 3:

$y = -5x + 10$ $4x - y = 8$ Substituting: $4x - (-5x + 10) = 8$ $4x + 5x - 10 = 8$ $9x = 18$ $x = 2$ $y = -5(2) + 10 = -10 + 10 = 0$ Solution: (2, 0) → Matches option H.

Would you like me to continue solving the rest and completing the riddle? 😊