2x + 5y = 3
-x + 3y = -7
multiply the second equation by 2
-2x + 6y = -14
2x + 5y = 3
-2x + 6y = -14
add two equations
2x + 5y = 3
+ -2x + 6y = -14
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11y = -11
y= -1
substitute -1 to any of the equations
2x + 5(-1) = 3
2x - 5 = 3
2x = 8
x = 4
so the final answers are..
x = 4 , y = -1