math help

Thank you for helping me with the last problem Reiny and Bosnian.

However, I have one more problem that I need help with please and I have no idea how work the problem. I used an on line calculator to get the answer. It didn't give an explanation on how to do the problem though. I need to know how to do future problems like this one. Please help.

{Y=3x+1
Y=5x-3
Answer says x=-2 and y=7

Please explain steps. Thanks

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  1. Y=3x+1 ...(1)
    Y=5x-3 ...(2)

    By comparison of (1) and (2), we conclude that
    3x+1=Y=5x-3
    3x+1=5x-3
    solve for x to get
    2x=4
    x=2
    Put x=2 in (1) to get
    Y=3(2)+1=7
    Check:
    put x=2 in (2) to get
    Y=5*2-3=7

    If your program gives x=-2 and y=7, there must be a typo somewhere. Check your post.

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