document.write( "Question 174508: Please help:\r
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document.write( "1. Solve for X and Y in the following problems. Make sure you show all your work.\r
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document.write( "a. X + Y=6 , 2X + Y = 8
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document.write( "b. 7X + 3Y = 14 , 5X + 9Y = 10
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document.write( "c. 4X + Y = 16 , 2X + 3Y = 24
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document.write( "d. 12X + Y = 25 , 8X - 2Y = 14\r
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document.write( "for \"a\" I have x=3, y=2...I just did it in my head but I'm having trouble with what formula to use and how to arrive at the answer step by step\r
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Algebra.Com's Answer #129511 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! a. X + Y=6 OR X=6-Y \n" ); document.write( "NOW REPLACE X IN THE SECOND EQUATION BY (6-Y) & SOLVE FOR Y. \n" ); document.write( "2X + Y = 8 \n" ); document.write( "2(6-Y)+Y=8 \n" ); document.write( "12-2Y+Y=8 \n" ); document.write( "-Y=8-12 \n" ); document.write( "-Y=-4 \n" ); document.write( "Y=4 ans. \n" ); document.write( "X=6-4 \n" ); document.write( "X=2 ans. \n" ); document.write( "-------------------------- \n" ); document.write( "b.7X + 3Y = 14 MULTIPLY BY -3 & ADD TO THE SECOND EQUATION \n" ); document.write( "5X + 9Y = 10 \n" ); document.write( "-21X-9Y=-42 \n" ); document.write( "------------------ \n" ); document.write( "-16X=-32 \n" ); document.write( "X=-32/-16 \n" ); document.write( "X=2 ans. \n" ); document.write( "5*2+9Y=10 \n" ); document.write( "10+9Y=10 \n" ); document.write( "9Y=10-10 \n" ); document.write( "9Y=0 \n" ); document.write( "Y=0 ans. \n" ); document.write( "------------------------------- \n" ); document.write( "c. 4X + Y = 16 OR Y=16-4X \n" ); document.write( "NOW REPLACE Y WITH (16-4X) IN THE SECOND EQUATION & SOLVE FOR X. \n" ); document.write( "2X + 3Y = 24 \n" ); document.write( "2X+3(16-4X)=24 \n" ); document.write( "2X+48-12X=24 \n" ); document.write( "-10X=24-48 \n" ); document.write( "-10X=-24 \n" ); document.write( "X=-24/-10 \n" ); document.write( "X=2.4 ans. \n" ); document.write( "4*2.4+Y=16 \n" ); document.write( "9.6+Y=16 \n" ); document.write( "Y=16-9.6 \n" ); document.write( "Y=6.4 ans. \n" ); document.write( "d. 12X + Y = 25 OR Y=25-12X NOW REPLACE Y WITH (25-12X) IN THE SECOND EQUATION & SOLVE FOR X. \n" ); document.write( "8X - 2Y = 14 \n" ); document.write( "8X-2(25-12X)=14 \n" ); document.write( "8X-50+24X=14 \n" ); document.write( "32X=14+50 \n" ); document.write( "32X=64 \n" ); document.write( "X=64/32 \n" ); document.write( "X=2 ans. \n" ); document.write( "12*2+Y=25 \n" ); document.write( "24+Y=25 \n" ); document.write( "Y=25-24 \n" ); document.write( "Y=1 ans. \n" ); document.write( " \n" ); document.write( " |