document.write( "Question 757012: The graph of the system of equations −5x+y=1 and 20x+4y=4 consists of what?\r
\n" ); document.write( "\n" ); document.write( "1.two distinct parallel lines\r
\n" ); document.write( "\n" ); document.write( "2.one line\r
\n" ); document.write( "\n" ); document.write( "3.two lines intersecting where x=1\r
\n" ); document.write( "\n" ); document.write( "4.two lines intersecting where y=1\r
\n" ); document.write( "\n" ); document.write( "two lines intersecting where y=4 \n" ); document.write( "
Algebra.Com's Answer #460563 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Sort both equations into y = mx + c
\n" ); document.write( "-5x + y = 1
\n" ); document.write( " y = 5x + 1
\n" ); document.write( "20x + 4y + 4
\n" ); document.write( " 4y = -20x + 4
\n" ); document.write( "Divide both sides by 4
\n" ); document.write( " y = -5x + 1
\n" ); document.write( "Solve:
\n" ); document.write( " y - 5x = 1 .....1
\n" ); document.write( " y + 5x = 1......2
\n" ); document.write( "Add 1 + 2
\n" ); document.write( " 2y = 2
\n" ); document.write( " y = 1
\n" ); document.write( "Substitute y = 1 in Eq(1)
\n" ); document.write( " 1 - 5x = 1
\n" ); document.write( " -5x = 0
\n" ); document.write( " x = 0
\n" ); document.write( "Two lines intersecting at y = 1 (4)
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-) \n" ); document.write( "
\n" );