Question 503692
Since you see x=11-3y, you will take what x equals (11-3y) and replace x in the other with this to solve for y.
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Take 6x+5y=1
Replace x with (11-3y)

6(11-3y)+5y=1 (distribute 6)
66-18y+5y=1   (combine like terms)
66-13y=1      (get the term attached to y by itself. subtract 66 from each side)
-13y=-65      (get y alone, divide both side by -13)
y=5
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Now that you have the value of y, you need to replace y in one of the equations to get the value of x.

6x+5(5)=1
6x+25=1
6x=-24
x=-4

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ANSWERS=
x=-4
y=5