document.write( "Question 393643: find the intersection of x+3y-3=0 and 2x-7y+20=0 (Please show your solution. THanks!) \n" ); document.write( "
Algebra.Com's Answer #279377 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Solve both equations for y:
\n" ); document.write( "x+3y-3=0
\n" ); document.write( "x+3y = 3
\n" ); document.write( "3y = -x + 3
\n" ); document.write( "y = (-1/3)x + 1
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\n" ); document.write( "and
\n" ); document.write( "2x-7y+20=0
\n" ); document.write( "2x-7y= -20
\n" ); document.write( "-7y= -2x - 20
\n" ); document.write( "y= (2/7)x + 20/7
\n" ); document.write( ".
\n" ); document.write( "set them equal to each other:
\n" ); document.write( "(-1/3)x + 1 = (2/7)x + 20/7
\n" ); document.write( "multiply both sides by 21:
\n" ); document.write( "-7x + 21 = 6x + 60
\n" ); document.write( "21 = 13x + 60
\n" ); document.write( "-39 = 13x
\n" ); document.write( "-3 = x
\n" ); document.write( ".
\n" ); document.write( "to find y plug into:
\n" ); document.write( "y = (-1/3)x + 1
\n" ); document.write( "y = (-1/3)(-3) + 1
\n" ); document.write( "y = (1) + 1
\n" ); document.write( "y = 2
\n" ); document.write( ".
\n" ); document.write( "intersection is at: (-3, 2)\r
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