Answer:
[tex]x = -348.5, y = 350.5[/tex]
Step-by-step explanation:
32base x means [tex]3x + 2[/tex]
Similarly, 32base x+51base y equals to [tex]3x + 2 + 5y + 1 = 3x + 5y + 3[/tex]
and 23base x +42 base y means [tex]2x + 3 + 4y + 2 = 2x + 4y + 5[/tex]
As per the given condition, [tex]3x + 5y + 3 = 2x + 4y + 5\\x + y = 2[/tex]
Putting, [tex]y = 2 - x[/tex] in [tex]2x + 4y + 5 = 710[/tex], we get
[tex]2x + 4y = 705\\2x + 4(2 - x) = 705\\8 - 2x = 705\\4 - x = 352.5\\x = -348.5[/tex]
[tex]y = 2 - x = 2 - (-348.5) = 2 + 348.5 = 350.5[/tex]
