document.write( "Question 68974: what are the two coordinates for the problem below:
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document.write( "3x+6y=6
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document.write( "2x-3y=4
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Algebra.Com's Answer #49083 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! what are the two coordinates for the problem below: \n" ); document.write( "3x+6y=6 \n" ); document.write( "2x-3y=4 \n" ); document.write( "Multiply the bottom equation by 2 and add the two equations together to eliminate your y's then solve for x: \n" ); document.write( "2(2x-3y=4)---> 4x-6y=8 \n" ); document.write( ": \n" ); document.write( "3x+6y=6 \n" ); document.write( "4x-6y=8 \n" ); document.write( "------- \n" ); document.write( "7x+0=14 \n" ); document.write( "7x=14 \n" ); document.write( "7x/7=14/7 \n" ); document.write( "x=2 \n" ); document.write( "Now substitute 2 in for x and solve for y in either equation: \n" ); document.write( "3(2)+6y=6 \n" ); document.write( "6+6y=6 \n" ); document.write( "6-6+6y=6-6 \n" ); document.write( "6y=0 \n" ); document.write( "6y/6=0/6 \n" ); document.write( "y=0 \n" ); document.write( "The solution is (x,y)=(2,0) \n" ); document.write( "To check substitute 2 in for x and 0 in for y and see if the equations equal out. \n" ); document.write( "3(2)+6(0)=6 \n" ); document.write( "6+0=6 \n" ); document.write( "6=6 the first equation checks. \n" ); document.write( "4(2)-6(0)=8 \n" ); document.write( "8-0=8 \n" ); document.write( "8=8 the second equation checks also. \n" ); document.write( "Happy Calculating!!!! \n" ); document.write( " |