The value of x and y based on the equation will be 3 2/3 and 4 respectively.
<h3>How to compute the values?</h3>
The equation given in the question is represented below:
x/5 + y/3 = 3 ..... equation i
3x - 2y = 3 ...... equation ii
Equation i can be rewritten as 3x + 5y = 15
The equations will be:
3x + 5y = 15
3x - 2y = 3
Subtract equation ii from i
3y = 12
Divide both side by 3
3y/3 = 12/3
y = 4
Put y = 4 into equation ii
3x - 2y = 3
3x - 2(4) = 3
3x - 8 = 3
3x = 3 + 8
3x = 11
x = 11/3 = 3 2/3
Therefore, the value of x and y based on the equation will be 3 2/3 and 4 respectively.
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