document.write( "Question 408270: Can someone please help?
\n" ); document.write( " Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.Show all work
\n" ); document.write( "10x – 4 = 2y
\n" ); document.write( "2y – 10x = 2
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #287669 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.Show all work
\n" ); document.write( "10x – 4 = 2y
\n" ); document.write( "2y – 10x = 2\r
\n" ); document.write( "\n" ); document.write( "--------------
\n" ); document.write( "It's your option to solve for \"x\" or for \"y\";
\n" ); document.write( "Solving the 2nd for y you would get:
\n" ); document.write( "y = 5x+1
\n" ); document.write( "----
\n" ); document.write( "Substitute into the 1st equation and solve for \"x\":
\n" ); document.write( "10x - 4 = 2(5x+1)
\n" ); document.write( "10x - 4 = 10x + 2
\n" ); document.write( "-4 = 2
\n" ); document.write( "----
\n" ); document.write( "That is a contradiction.
\n" ); document.write( "I assumed the x in both equations and the y in
\n" ); document.write( "both equations could be the same. They cannot.
\n" ); document.write( "The system is inconsistent. The lines are parallel.
\n" ); document.write( "There is no solution.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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