SOLUTION: Solve the following system by the substitution method. Check the solution(s). 1/5x+2/3y=-43/5 3x−y=3

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Question 1102036: Solve the following system by the substitution method. Check the solution(s).
1/5x+2/3y=-43/5
3x−y=3
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
system%28%281%2F5%29x%2B%282%2F3%29y=-43%2F5%2C3x-y=3%29

The obvious first step could be use y=3x-3 to substitute.
%281%2F5%29x%2B%282%2F3%29%283x-3%29=-43%2F5
and you can continue from here.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following system by the substitution method. Check the solution(s).
1/5x+2/3y=-43/5
3x−y=3
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y = 3x-3
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Substitute for "y" and solve for "x"::
(1/5)x + (2/3)y = -43/5
(1/5)x + (2/3)(3x-3) = -43/5
(1/5)x + 2x-2 = -43/5
(11/5)x = -33/5
x = -3
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y = 3x-3 = -12
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Cheers,
Stan H.
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