SOLUTION: Find the solution to each system by the substitution method. Check your answers. 2x-5y=-1 x-3y=-3

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Question 536510: Find the solution to each system by the substitution method. Check your answers.
2x-5y=-1
x-3y=-3
Answer by Maths68(1474) About Me  (Show Source):
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2x-5y=-1.........(1)
x-3y=-3
x=3y-3...........(2)
Substitute the value of x in (1)
2%283y-3%29-5y=-1
6y-6-5y=-1
y-6=-1
y=-1%2B6
y=5
Put the value of y in (1)
2x-5%285%29=-1
2x-25=-1
2x=-1%2B25
2x=24
x=24%2F2
x=12
(x,y)=(12,5)

Check
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Put the value of x and y in (1)
2x-5y=-1.........(1)
2%2812%29-5%285%29=-1
24-25=-1
-1=-1