document.write( "Question 250424: Solve each system by graphing
\n" ); document.write( "y = 2/3x
\n" ); document.write( "2 x + 3 y = 5\r
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\n" ); document.write( "\n" ); document.write( "Second question \r
\n" ); document.write( "\n" ); document.write( "Graph each pair of equations on a graphing calculator using
\n" ); document.write( "a window that shows the point of intersection. Use the
\n" ); document.write( "intersect feature to find the solution\r
\n" ); document.write( "\n" ); document.write( "y = 5x + 98
\n" ); document.write( "y =7x + 70
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Algebra.Com's Answer #182419 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"y+=+%282%2F3%29x\"
\n" ); document.write( "\"+2x+%2B+3y+=+5\"
\n" ); document.write( "\"3y=-2x%2B5\"
\n" ); document.write( "\"y=-%282%2F3%29x%2B%285%2F3%29\"
\n" ); document.write( "Since they have the same slopes but different y-intercepts, they are parallel lines and don't intersect.
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\n" ); document.write( "It's hard to tell graphically.
\n" ); document.write( "Since both equations equal y, set them equal to each other and solve for x.
\n" ); document.write( "\"%282%2F3%29x=-%282%2F3%29x%2B%285%2F3%29\"
\n" ); document.write( "\"2x=-2x%2B5\"
\n" ); document.write( "\"4x=5\"
\n" ); document.write( "\"x=5%2F4\"
\n" ); document.write( "Then from either equation solve for y.
\n" ); document.write( "\"y=%282%2F3%29x=%282%2F3%29%285%2F4%29=5%2F6\"
\n" ); document.write( "The intersection point is
\n" ); document.write( "(\"5%2F4\",\"5%2F6\")
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