1. The problem gives two equations: $$5y - 15 = 2x$$ $$10y + 7 = ?$$ 2. Let's analyze the given options for the second equation to identify which matches with the first or relates logically. 3. First, simplify the first equation: add 15 to both sides: $$5y = 2x + 15$$ 4. Now isolate $y$ by dividing both sides by 5: $$y = \frac{2x + 15}{5} = \frac{2x}{5} + 3$$ 5. Let's similarly simplify the expressions in the provided options for the second equation and check for consistency or relationships: - Option 1: $$10y + 7 = -4x$$ - Option 2: $$10y + 7 = 4x$$ - Option 3: $$4y + 7 = 10x$$ - Option 4: $$4y + 7 = -10x$$ - Option 5: $$4y - 7 = 10x$$ 6. From the simplified $y$ expression, multiply both sides by 10: $$10y = 4x + 30$$ 7. Add 7 to both sides: $$10y + 7 = 4x + 37$$ 8. None of the options match exactly to $10y+7 = 4x + 37$. However, option 2 is $10y + 7 = 4x$, which differs by 37 on the right side. 9. Since no exact match occurs, the options represent different equations or transformations unrelated directly to the first. Final answer: The only equation consistent in format with the first after scaling is option 2: $$10y + 7 = 4x$$ but it does not directly correspond because of the constant term 7 on the left and the absence of 37 on the right side. Hence, none of the options perfectly correspond when considering constants.