document.write( "Question 448427: I have one more question. How would you do this in steps? Graph y-5x=-4 and 5x=5+y to find the solution? Just the two equations I need to know how to break it down? Such as what would you do to the numbers? Would you subtract anything? I'll really appreciate it. :) God Bless You!!!
\n" ); document.write( " -Thank You. :) \n" ); document.write( "
Algebra.Com's Answer #308620 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Graph y - 5x =-4 and 5x = 5 + y to find the solution?
\n" ); document.write( ":
\n" ); document.write( "Put both equations into the slope intercept form (y = mx + b)
\n" ); document.write( "y - 5x = -4
\n" ); document.write( "add 5x to both sides;
\n" ); document.write( "y = 5x - 4
\n" ); document.write( "and
\n" ); document.write( "5x = 5 + y
\n" ); document.write( "subtract 5x from both sides
\n" ); document.write( "0 = -5x + y + 5
\n" ); document.write( "subtract y from both sides
\n" ); document.write( "-y = -5x + 5
\n" ); document.write( "y has to be positive, multiply both sides by -1
\n" ); document.write( "y = 5x - 5
\n" ); document.write( ":
\n" ); document.write( "Both these equations have the same slope m=5, therefore the lines are parallel
\n" ); document.write( "there is no solution
\n" ); document.write( ":
\n" ); document.write( "Prove this to yourself by plotting each equation on the same grid.
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\n" ); document.write( "Plot these for x = -1 and x = +2
\n" ); document.write( "1st equation
\n" ); document.write( "y = 5(-1) -4
\n" ); document.write( "y = -9
\n" ); document.write( ":
\n" ); document.write( "y = 5(2) -4
\n" ); document.write( "y = 6
\n" ); document.write( ":
\n" ); document.write( "Plot the two ordered pairs -1.-9 and +2, +6 (red graph)
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-4%2C+4%2C+-10%2C+10%2C+5x-4%29+\" \r
\n" ); document.write( "\n" ); document.write( "Plot the 2nd equation for x =-1, x=+2 the same way
\n" ); document.write( "y = 5x - 5
\n" ); document.write( "you should get ordered pairs of -1, -10 and +2, +5 (green graph)
\n" ); document.write( "Plot this on the same system
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-4%2C+4%2C+-10%2C+10%2C+5x-4%2C+5x-5%29+\"
\n" ); document.write( ":
\n" ); document.write( "You can see that these lines are parallel, never intersect, so no solution for this system of equations
\n" ); document.write( " \n" ); document.write( "
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