document.write( "Question 167382: solve each system by the elimination method
\n" ); document.write( "1)3x+2y=10
\n" ); document.write( " 2x+y=7\r
\n" ); document.write( "\n" ); document.write( "2)3x-2y=7
\n" ); document.write( " 2x-y=8\r
\n" ); document.write( "\n" ); document.write( "3)2x+3y=-13
\n" ); document.write( " -4x+6y=-10 \n" ); document.write( "

Algebra.Com's Answer #123291 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
1) $\"3x%2B2y=10\"$ , EQN 1
\n" ); document.write( " $\"2x%2By=7\"$ , EQN 2
\n" ); document.write( "Multiply EQN 2 by $\"-2\"$ : --> $\"-4x-2y=-14\"$ , then add to EQN 1
\n" ); document.write( " $\"-x=-4\"$ --> $\"highlight%28x=4%29\"$ -- $\"system%283x%2B2y=10%2C-4x-2y=-14%29\"$
\n" ); document.write( "Via EQN 1: $\"3%284%29%2B2y=10\"$
\n" ); document.write( " $\"12%2B2y=10\"$ ---> $\"2y=10-12=-2\"$ ---> $\"cross%282%29y%2Fcross%282%29=cross%28-2%291%2Fcross%282%291+\"$
\n" ); document.write( " $\"highlight%28y=-1%29\"$
\n" ); document.write( "Check Via EQN 2:
\n" ); document.write( " $\"2%2A4%2B%28-1%29=7\"$
\n" ); document.write( " $\"8-1=7\"$ , good
\n" ); document.write( "2) $\"3x-2y=7\"$ , EQN 3
\n" ); document.write( " $\"2x-y=8\"$ , EQN 4
\n" ); document.write( "Multiply EQN 4 by $\"-2\"$ ---> $\"-4x%2B2y=-16\"$ then add to EQN 3
\n" ); document.write( " $\"-x=-9\"$ --> $\"highlight%28x=9%29\"$ -- $\"system%283x-2y=7%2C-4x%2B2y=-16%29\"$
\n" ); document.write( "Via EQN 3: $\"3%2A9-2y=7\"$
\n" ); document.write( " $\"27-7=2y\"$ ---> $\"cross%2820%2910%2Fcross%282%29=cross%282%29y%2Fcross%282%29\"$
\n" ); document.write( " $\"highlight%28y=10%29\"$
\n" ); document.write( "Check Via EQN 4:
\n" ); document.write( " $\"4%2A9-2%2A10=16\"$
\n" ); document.write( " $\"36-20=16\"$ , good\r
\n" ); document.write( "\n" ); document.write( "3) $\"2x%2B3y=-13\"$ , EQN 5
\n" ); document.write( " $\"-4x%2B6y=-10\"$ , EQN 6
\n" ); document.write( "Multiply EQN 5 by $\"-2\"$ ----> $\"-4x-6y=26\"$ then add to EQN 6
\n" ); document.write( " $\"-8x=16\"$ --> $\"x=16%2F-8=highlight%28-2=x%29\"$ --- $\"system%28-4x-6y=26%2C-4x%2B6y=-10%29\"$
\n" ); document.write( "Via EQN 5: $\"%282%29%28-2%29%2B3y=-13\"$
\n" ); document.write( " $\"3y=-13%2B4=-9\"$ ---> $\"cross%283%29y%2Fcross%283%29=cross%28-9%293%2Fcross%283%29\"$
\n" ); document.write( " $\"highlight%28y=-3%29\"$
\n" ); document.write( "Check Via EQN 6:
\n" ); document.write( " $\"%28-4%29%28-2%29%2B%286%29%28-3%29=-10\"$
\n" ); document.write( " $\"8%2B%28-18%29=-10\"$
\n" ); document.write( " $\"-10=-10\"$ good
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You may edit the question. Maybe \n" ); document.write( "

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