Equations: 80499

In the field of real numbers, solve the system of equations:
2x + ⌊y⌋ = 2022,
3y + ⌊2x⌋ = 2023.
(⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.)

Correct answer:

x =  1011
y =  1/3

Step-by-step explanation:

2x + y = 2022 3y+2 x=2023  x=1011 y=310.3333   Verifying Solution:  s1=2 x+y=2 1011+0.3333=2022 s2=3 y+2 x=3 0.3333+2 1011=2023
y=1/3=31=0.3333



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