Question 1104019
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     x +      y = 32        (1)    (hours, counting Blake's working hours)
6.10*x + 7.20*y = 211.70    (2)    (dollars, counting his earnings)


Multiply eq(1) by 6.10 (both sides).  The modified (and equivalent) system is THIS:

6.10x +  6.10*y = 6.10*32   (3)
6.10*x + 7.20*y = 211.70    (4)


Now subtract eq(3) from eq(4) (both sides).  The terms "6.10*x" will cancel each other,
and you will get a single equation for only ONE unknown y   (it is how the Elimination method works)

7.20*y - 6.10*y = 211.70 - 6.10*32,

1.10y = 16.5  ====>  y = {{{16.5/1.10}}} = 15.


<U>Answer</U>.  Blake worked 15 hours for B and 32-15 = 17 hours for A.
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Solved.


On the way, you learned on how the Elimination method works.