SOLUTION: solve system using substution method 5x+y=2 5y=x+9 solution ?/26,47/?

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Question 207937: solve system using substution method
5x+y=2
5y=x+9
solution ?/26,47/?

Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
5x+y=2 y=2-5x
5y=x+9
5(2-5x)=x+9
10-25x=x-9
-24x=-1
x=-1/24
------------------
5(-1/24)+y=2
-5/24+y=2
y=2+5/24
y=53/24
-----------------
5(-1/24)+53/24=2

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

solve system using substution method
5x+y=2
5y=x+9
solution ?/26,47/?
5x + y = 2 ------- eq(i)------> y = -5x + 2
5y = x + 9 ------- eq(ii)

Substitute -5x + 2 for y on eq (ii)
5(-5x + 2) = x + 9
-25x + 10 = x + 9

-26x = - 1
highlight_green%28x+=+1%2F26%29

Substitute 1%2F26 for x in eq (ii), 5y=x+9
5y+=+1%2F26+%2B+9

130y = 1 + 234 ----> Multiplying by LCD, 26

130y = 235
y+=+235%2F130 = highlight_green%2847%2F26%29