Question

Question was provided via image upload.

Explanation:

Step1: Write initial earnings equation

$15.50x + 18.60y = 682$

Step2: Eliminate decimals (multiply by 100)

$1550x + 1860y = 68200$

Step3: Simplify by GCD (divide by 310)

$5x + 6y = 220$

Step4: Rearrange to match given structure

$5x + 6y - 220 = 0$
(Note: The given final right-hand side 6820 appears to be an error; the corrected standard form rearranged to the blank structure uses 0, but following the simplified standard form derivation)

Answer:

The correct standard form equation is $\boldsymbol{5x + 6y = 220}$, which rearranges to $\boldsymbol{5x + 6y - 220 = 0}$ (the provided 6820 in the prompt is inconsistent with proper simplification).