Question 503692
6x +5y = 1
x = 11 -3y
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substitute x = 11-3y
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6(11-3y) +5y = 1
66 -18y +5y = 1
-13y  = -65
y = 5
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substitute y=5 into the first equation
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6x + 5(5) = 1
6x = -24
x = -4
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check answer by substituting into the second equation
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11-3y = 11-15 = -4
x = -4
correct.
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Answer:  x=-4, y=5
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Done.