document.write( "Question 116999This question is from textbook
\n" ); document.write( ": Solve by graphing. \r
\n" ); document.write( "\n" ); document.write( "2x = y + 1
\n" ); document.write( "2x - y = 5\r
\n" ); document.write( "\n" ); document.write( "I know you are supposed to rearrane it into y-intercept form but I'm not really sure how to go about graphing it at all. \n" ); document.write( "
Algebra.Com's Answer #85091 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve by graphing.
\n" ); document.write( "Actually these two equations have the same slope, therefore they are parallel lines and can't be solved by graphing or any other way.
\n" ); document.write( ":
\n" ); document.write( "However this is the procedure and you will see what I mean:
\n" ); document.write( "Take one equation at a time:
\n" ); document.write( ":
\n" ); document.write( "Put in slope/intercept form
\n" ); document.write( "2x = y + 1
\n" ); document.write( "Subtract 1 from both sides
\n" ); document.write( "2x - 1 = y
\n" ); document.write( "We can also write in the more familiar form:
\n" ); document.write( "y = 2x - 1
\n" ); document.write( ":
\n" ); document.write( "Make a table to plot this as a graph, you only need 2 points, however here are 3
\n" ); document.write( "Let x = -3
\n" ); document.write( "Substitute -3 for x in the above equation and find y
\n" ); document.write( "y = 2x - 1
\n" ); document.write( "y = 2(-3)- 1
\n" ); document.write( "y = -6 - 1
\n" ); document.write( "y = -7
\n" ); document.write( ":
\n" ); document.write( "The table:
\n" ); document.write( " x | y
\n" ); document.write( "------
\n" ); document.write( "-3 |-7\r
\n" ); document.write( "\n" ); document.write( "do the same with x = 0
\n" ); document.write( "y = 2(0) - 1
\n" ); document.write( "y = -1
\n" ); document.write( "and
\n" ); document.write( "for x = +3
\n" ); document.write( "y = 2(3) - 1
\n" ); document.write( "y = +6 -1
\n" ); document.write( "y = + 5
\n" ); document.write( "the table now
\n" ); document.write( " x| y
\n" ); document.write( "-----
\n" ); document.write( "-3|-7
\n" ); document.write( " 0|-1
\n" ); document.write( "+3|+5
\n" ); document.write( ":
\n" ); document.write( "Plot these point on a standard +/- 10 graph, should look like this:
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x-1%29+\"
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Do exactly the same with this equation and plot on the same graph
\n" ); document.write( "2x - y = 5
\n" ); document.write( "-y = -2x + 5; subtracted 2x from both sides
\n" ); document.write( "y = +2x - 5; y always has to be positive, multiplied by -1
\n" ); document.write( ":
\n" ); document.write( "You can see now that the two equations have the same slope (2)
\n" ); document.write( ":
\n" ); document.write( "Plot this one using the values for x, -2, 0 +3
\n" ); document.write( "Substitute these values for x in the above equation,
\n" ); document.write( " x| y
\n" ); document.write( "------
\n" ); document.write( "-2|-9
\n" ); document.write( " 0|-5
\n" ); document.write( "+3|+1
\n" ); document.write( ":
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x-1%2C2x-5%29+\"
\n" ); document.write( ":
\n" ); document.write( "Anyway, if the graph of two equation intersect at some point, the x/y value of that point is the solution.
\n" ); document.write( ":
\n" ); document.write( "Did this help you? \n" ); document.write( "
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