document.write( "Question 970337: If (2, -1) is a solution to the system of equations, what is the value of b?\r
\n" ); document.write( "\n" ); document.write( "2x+y=a
\n" ); document.write( "3x-y=b
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Algebra.Com's Answer #592981 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
2x+y=a
\n" ); document.write( "3x-y=b
\n" ); document.write( "Add them
\n" ); document.write( "5x=a+b
\n" ); document.write( ";; 10=a+b\r
\n" ); document.write( "\n" ); document.write( "Now multiply top by 3 and bottom by -2
\n" ); document.write( "6x+3y=3a
\n" ); document.write( "-6x+2y=-2b
\n" ); document.write( "5y=3a-2b
\n" ); document.write( ";; -5=3a-2b\r
\n" ); document.write( "\n" ); document.write( "a+b=10
\n" ); document.write( "3a-2b=-5
\n" ); document.write( "2a+2b=20 ; doubling the first. Now add
\n" ); document.write( "3a-2b=-5
\n" ); document.write( "5a=15 ; a=3
\n" ); document.write( "a=3, b=7 ANSWER\r
\n" ); document.write( "\n" ); document.write( "2x+y=3
\n" ); document.write( "3x-y=7
\n" ); document.write( "5x=10 x=2 2x+y=3, 4+y=3 ; y=-1 solutions (2,-1) as they should be\r
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