SOLUTION: Solve by substitution. 3x+y=2 2x-5y=24 steps please.

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Question 298391: Solve by substitution.
3x+y=2
2x-5y=24
steps please.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Set-Up:
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Equation 1: 3X+%2B+Y+=+2
Equation 2: 2X+-+5Y+=+24
Solution:
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Solve equation 1 for Y
Equation 1: 3X+%2B+Y+=+2
Y+=+2+-+3X
Now substitute (2 - 3X) into quation 2 for Y
Equation 2: 2X+-+5Y+=+24
2X+-+5%2A%282+-+3X%29+=+24 Simplify
2X+-+10+%2B+15X+=+24 Simplify
17X+-+10+=+24 Add 10 to both sides
17X++=+34 Divide both sides by 17
highlight%28X+=+2%29
Now plux 2 into equation 1 for X
Y+=+2+-+3X
Y+=+2+-+6
highlight%28Y+=+-4%29