document.write( "Question 17873: Hello, Im seeking help regarding Graphing,Subsitution,And Elimination Next to each equation I have a problem number in Parenthesis. This shouldnt affect you at all, But its there for reference on my part. Thank you in advance to whoevern decides to aid me.\r
\n" ); document.write( "\n" ); document.write( "My first problem (5) is x=4y+5
\n" ); document.write( " x=3y-2
\n" ); document.write( "How do I get a variable here? I have to do this problem using subsitution. The two x's confuse me. I've never seen a problem like this and its the only one I have. Some help please!! :)
\n" ); document.write( "My next problem(7) is with elmination\r
\n" ); document.write( "\n" ); document.write( "3x-5y=16
\n" ); document.write( "-3x+2y=-10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "How do I do this? I've tried several times and just cant solve it.\r
\n" ); document.write( "\n" ); document.write( "My next problem is also similiar to the one before last, I can not get a variable to cancel out, But I have to multiply it and thus dont know what to multiply by!!!!!!!!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4x+7y=6
\n" ); document.write( "6x+5y=20\r
\n" ); document.write( "\n" ); document.write( "I have to decide what to do this one by Either sub,graphing,or elim
\n" ); document.write( "(16)
\n" ); document.write( "x+2y=6
\n" ); document.write( "3x-2y=2\r
\n" ); document.write( "\n" ); document.write( "-Sincerely Jordan.
\n" ); document.write( "

Algebra.Com's Answer #8906 by Alwayscheerful(414)\"\" \"About 
You can put this solution on YOUR website!
Wow, long question!
\n" ); document.write( "This question seems a little old, but I'll still answer it.
\n" ); document.write( "Your question 5 with substitution
\n" ); document.write( "\"x=4y%2B5\"
\n" ); document.write( "\"x=3y-2\"
\n" ); document.write( "Don't let the 2 x's confuse you.
\n" ); document.write( "All you need to do (because you are using substitution) is move one of the x's over and the number without a variable over to take its spot.
\n" ); document.write( "\"4y-x=-5\" - New equation
\n" ); document.write( "Take the second equation and substitute!
\n" ); document.write( "\"4y-%283y-2%29=-5\"
\n" ); document.write( "\"4y-3y%2B2=-5\"
\n" ); document.write( "\"y=-7\"
\n" ); document.write( "Plug -7 back into the original equation to get X
\n" ); document.write( "\"x=4%28-7%29%2B5\"
\n" ); document.write( "\"x=-28%2B5\"
\n" ); document.write( "\"x=-23\"
\n" ); document.write( "*CHECK*
\n" ); document.write( "Plug (-23,-7) back into your answer to make sure you get the right answer. On homework, I would just check the answer in the book to make sure you got it right, but on tests, I highly reccomend checking.
\n" ); document.write( "\"-23=4%28-7%29%2B5\"
\n" ); document.write( "\"-23=-23\" CORRECT!\r
\n" ); document.write( "\n" ); document.write( "Your question 7 with elimination
\n" ); document.write( "\"3x-5y=16\"
\n" ); document.write( "\"-3x%2B2y=-10\"
\n" ); document.write( "Great! You already have coinciding X terms! All you need to do is get rid of it. How? Add 3 to -3 and you get 0!
\n" ); document.write( "\"-3y=6\"
\n" ); document.write( "\"y=-2\"
\n" ); document.write( "Plug -2 back in the original equation to find X
\n" ); document.write( "\"3x-5%28-2%29=16\"
\n" ); document.write( "\"3x%2B10=16\"
\n" ); document.write( "\"3x=6\"
\n" ); document.write( "\"x=2\"
\n" ); document.write( "*CHECK*
\n" ); document.write( "\"3%282%29-5%28-2%29=16\"
\n" ); document.write( "\"6%2B10=16\" CORRECT!\r
\n" ); document.write( "\n" ); document.write( "Your 3rd question using elimination
\n" ); document.write( "\"4x%2B7y=6\"
\n" ); document.write( "\"6x%2B5y=20\"
\n" ); document.write( "All you have to do is multiply the X or Y values to make them equal.
\n" ); document.write( "For X, you can make them both 24 by multiplying the top by 6 and the bottom by 4
\n" ); document.write( "For Y, you can make them both 35 by multiplying the top by 5 and the bottom by 7
\n" ); document.write( "I'll make the X values 24 because the number is smaller.
\n" ); document.write( "\"24x%2B42y=36\"
\n" ); document.write( "\"24x%2B20y=80\"
\n" ); document.write( "Subtract
\n" ); document.write( "\"22y=-44\"
\n" ); document.write( "\"y=-2\"
\n" ); document.write( "Plug -2 for Y to get X
\n" ); document.write( "\"4x%2B7%28-2%29=6\"
\n" ); document.write( "\"4x-14=6\"
\n" ); document.write( "\"4x=20\"
\n" ); document.write( "\"x=5\"
\n" ); document.write( "*CHECK*
\n" ); document.write( "\"4%285%29%2B7%28-2%29=6\"
\n" ); document.write( "\"20-14=6\" CORRECT!\r
\n" ); document.write( "\n" ); document.write( "Your question 16 (I reccomend elimination)
\n" ); document.write( "\"x%2B2y=6\"
\n" ); document.write( "\"3x-2y=2\"
\n" ); document.write( "Add
\n" ); document.write( "\"4x=8\"
\n" ); document.write( "\"x=2\"
\n" ); document.write( "Plug 2 in for X to get Y
\n" ); document.write( "\"%282%29%2B2y=6\"
\n" ); document.write( "\"2y=4\"
\n" ); document.write( "\"y=2\"
\n" ); document.write( "*CHECK*
\n" ); document.write( "\"%282%29%2B2%282%29=6\"
\n" ); document.write( "\"2%2B4=6\" CORRECT!\r
\n" ); document.write( "\n" ); document.write( "Hope this all helps!
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