document.write( "Question 431736: describe the relationship between the 2 lines 5y+3x=10 and 3y-5x=6 I have looked through my notes and have tried video math lessons but not finding the right one
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Algebra.Com's Answer #299532 by mananth(16946)\"\" \"About 
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5y+3x=10
\n" ); document.write( "5y= -3x+10
\n" ); document.write( "/5
\n" ); document.write( "y= -3x/5 +2..............1\r
\n" ); document.write( "\n" ); document.write( "3y-5x=6
\n" ); document.write( "3y=5x+6
\n" ); document.write( "/3
\n" ); document.write( "y=5x/3+2\r
\n" ); document.write( "\n" ); document.write( "You find that the slopes of these two lines are negative reciprocal of each other. m1*m2=-1\r
\n" ); document.write( "\n" ); document.write( "3 x + 5 y = 10 .............1
\n" ); document.write( "-5 x + 3 y = 6 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -3
\n" ); document.write( "Multiply (2) by 5
\n" ); document.write( "-9x-15y=-30
\n" ); document.write( "-25x+15y=30
\n" ); document.write( "Add the two equations
\n" ); document.write( "-34x=0
\n" ); document.write( "/-34
\n" ); document.write( "x=0
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "3x+5y=10
\n" ); document.write( "5y=10
\n" ); document.write( "5 y = 10
\n" ); document.write( "5 y = 10
\n" ); document.write( "y = 2 \r
\n" ); document.write( "\n" ); document.write( "They intersect at (0,2)\r
\n" ); document.write( "\n" ); document.write( "\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cy=%28-3x%2F5%29%2B2%2Cy=%285x%2F3%29%2B2%29%29\"\r
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