document.write( "Question 875357: I am doing my end of course review for my final and I understand all of it except 2 questions both similar. I will place one of them below and hopefully with your help I will be able do the other one on my own. Thank you SOOO much in advance. -- Alex C
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\n" ); document.write( "Which of the linear systems has exactly one solution?
\n" ); document.write( "A) 5x + 3y = -22 B) 2x + 3y = 45
\n" ); document.write( " 4x - 5y = 12 2y + 4/3x = 30
\n" ); document.write( "C) 2x - 3y = -15 D) x + y = 2
\n" ); document.write( " 2/3x - y = 3 1/2x + 1/2y = 1\r
\n" ); document.write( "\n" ); document.write( "(Sorry for any typos I'm on my ipad)
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Algebra.Com's Answer #528122 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
2x - 3y = -15 \r
\n" ); document.write( "\n" ); document.write( "2x-3y-15=0: let this represent a1x+b1y+c1
\n" ); document.write( "a1=2,b1=-3c1=-15\r
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\n" ); document.write( "\n" ); document.write( " x + y = 2 :\r
\n" ); document.write( "\n" ); document.write( "x+y-2=0 : let this represent a2x+b2y+c2=0\r
\n" ); document.write( "\n" ); document.write( "a2=1, b2=1,c2=-2
\n" ); document.write( "if a1/a2 not equal to b1/b2 then the system has one solution\r
\n" ); document.write( "\n" ); document.write( "in the above problem
\n" ); document.write( "2/1 = not equal to 1/1
\n" ); document.write( "hence has a unique solution\r
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