document.write( "Question 107324: solve the following sytems of equations \r
\n" ); document.write( "\n" ); document.write( "1. 2. 3.
\n" ); document.write( "y=7x-8 6x+7y=19 3x-2y=4
\n" ); document.write( "y=3x-12 x+y=5 2x+y=12
\n" ); document.write( "

Algebra.Com's Answer #78147 by elima(1433)\"\" \"About 
You can put this solution on YOUR website!
Since it doesn't say which method to use, I will use the substitution method;
\n" ); document.write( "1)y=7x-8
\n" ); document.write( " y=3x-12
\n" ); document.write( "Lets substitute y=3x-12 for y in the other equation
\n" ); document.write( "(3x-12)=7x-8
\n" ); document.write( "3x-7x=-8+12
\n" ); document.write( "-4x=4
\n" ); document.write( "x=-1
\n" ); document.write( "Now plug that in for x in either equation;
\n" ); document.write( "y=7(-1)-8
\n" ); document.write( "y=-7-8
\n" ); document.write( "y=-15
\n" ); document.write( "========================================
\n" ); document.write( "2)6x+7y=19
\n" ); document.write( " x+y=5
\n" ); document.write( "------------------------
\n" ); document.write( "for this one lets solve the second equation for x and then use that answer in the first equation;
\n" ); document.write( "x=5-y
\n" ); document.write( "6(5-y)+7y=19
\n" ); document.write( "30-6y+7y=19
\n" ); document.write( "y=19-30
\n" ); document.write( "y=-11
\n" ); document.write( "x-11=5
\n" ); document.write( "x=5+11
\n" ); document.write( "x=16
\n" ); document.write( "=====================================
\n" ); document.write( "3)3x-2y=4
\n" ); document.write( " 2x+y=12
\n" ); document.write( "--------------------
\n" ); document.write( "lets solve the second equation for y;
\n" ); document.write( "y=12-2x
\n" ); document.write( "-----------------------------
\n" ); document.write( "3x-2(12-2x)=4
\n" ); document.write( "3x-24+4x=4
\n" ); document.write( "7x=4+24
\n" ); document.write( "7x=28
\n" ); document.write( "x=4
\n" ); document.write( "2(4)+y=12
\n" ); document.write( "8+y=12
\n" ); document.write( "y=12-8
\n" ); document.write( "y=4
\n" ); document.write( ":)
\n" ); document.write( "
\n" );