document.write( "Question 173010: Ariyone claims that 3,6 is the point of intersection of the lines y= 4x-2 and y=1/2x+5. is he correct. How do you know? \n" ); document.write( "
Algebra.Com's Answer #127873 by nerdybill(7384)\"\" \"About 
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Ariyone claims that 3,6 is the point of intersection of the lines y= 4x-2 and y=1/2x+5. is he correct. How do you know?
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\n" ); document.write( "The claim is, given two lines:
\n" ); document.write( "y= 4x-2
\n" ); document.write( "y=1/2x+5
\n" ); document.write( ".
\n" ); document.write( "It intersects at (x,y)=(3,6)
\n" ); document.write( ".
\n" ); document.write( "plugging the point into:
\n" ); document.write( "y= 4x-2
\n" ); document.write( "6= 4(3)-2
\n" ); document.write( "6= 12-2
\n" ); document.write( "6= 10 (false)
\n" ); document.write( ".
\n" ); document.write( "plugging the point into:
\n" ); document.write( "y=1/2x+5
\n" ); document.write( "6=1/2(3)+5
\n" ); document.write( "6=3/2+5
\n" ); document.write( "6=3/2+10/2
\n" ); document.write( "6=13/2 (false)
\n" ); document.write( ".
\n" ); document.write( "So, NO, he is incorrect.
\n" ); document.write( "The intersection can be found by setting both equations equal to each other:
\n" ); document.write( "4x-2 =1/2x+5
\n" ); document.write( "8x-4 = x+10
\n" ); document.write( "7x-4 = 10
\n" ); document.write( "7x = 14
\n" ); document.write( "x = 2
\n" ); document.write( ".
\n" ); document.write( "plug it back into either equation to find y:
\n" ); document.write( "y = 4x-2
\n" ); document.write( "y = 4(2)-2
\n" ); document.write( "y = 8-2
\n" ); document.write( "y = 6
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\n" ); document.write( "Intersecting point is at (2,6)\r
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