document.write( "Question 126632: I have to eliminate using multiplication. How would I solve these two problems?\r
\n" ); document.write( "\n" ); document.write( "2x+3y=6
\n" ); document.write( "x+2y=5\r
\n" ); document.write( "\n" ); document.write( "4x+5y=6
\n" ); document.write( "6x-7y=-20
\n" ); document.write( "

Algebra.Com's Answer #94515 by apachemexican1(64)\"\" \"About 
You can put this solution on YOUR website!
2x+3y=6
\n" ); document.write( "x+2y=5
\n" ); document.write( "the first thing you must do is
\n" ); document.write( "cancel out the x's by adding the negative
\n" ); document.write( "1(2x+3y=6)
\n" ); document.write( "-2(x+2y=5)
\n" ); document.write( "you get
\n" ); document.write( " 2x+3y=6
\n" ); document.write( "-2x-4y=-10
\n" ); document.write( "---------
\n" ); document.write( "y=-4\r
\n" ); document.write( "\n" ); document.write( "now do the exact same with y
\n" ); document.write( "-2(2x+3y=6)
\n" ); document.write( " 3(x+2y=5)
\n" ); document.write( "------------
\n" ); document.write( "-4x+6y=-12
\n" ); document.write( " 3x+6y=15
\n" ); document.write( "------------
\n" ); document.write( "-x=3
\n" ); document.write( "since you can't have an answer with a negative x
\n" ); document.write( "so you move the negative sign over
\n" ); document.write( "so the answer is x=-3
\n" ); document.write( "the points are (-3,-4)\r
\n" ); document.write( "\n" ); document.write( "NEXT...
\n" ); document.write( "4x+5y=6
\n" ); document.write( "6x-7y=-20
\n" ); document.write( "you do the same with this equation
\n" ); document.write( "-3(4x+5y=6)
\n" ); document.write( " 2(6x-7y=-20)
\n" ); document.write( "-12x+15y=18
\n" ); document.write( " 12x-14y=-40
\n" ); document.write( "------------
\n" ); document.write( "y=-22
\n" ); document.write( "do the same with y
\n" ); document.write( "7(4x+5y=6)
\n" ); document.write( "5(6x-7y=-20)
\n" ); document.write( "28x+35y=42
\n" ); document.write( "30x-35y=-100
\n" ); document.write( "-------------
\n" ); document.write( "58x=-58
\n" ); document.write( "now divide 58 to both sides
\n" ); document.write( "of the equation
\n" ); document.write( "58x/58=-58/58
\n" ); document.write( "x=-1\r
\n" ); document.write( "\n" ); document.write( "the points are
\n" ); document.write( "(-1,-22)
\n" ); document.write( "good luck!!!
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