document.write( "Question 126269: Solve each of the following systems by graphing.
\n" ); document.write( "2x - y = 4
\n" ); document.write( " 2x - y = 6 \n" ); document.write( "

Algebra.Com's Answer #92521 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
If you first re-arrange the equations to slope-intercept form $\"y=mx%2Bb\"$ by solving for y, you get\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y=2x-4\"$ and $\"y=2x-6\"$ . Notice that the slopes, given by the coefficient on x are equal. That means that the lines are parallel. The fact that the y-intercepts are not equal further tells you that these are not the same line. So you have a system with no elements in the solution set.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The graph supports this notion because you can see that the two lines are different lines and will never intersect.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"graph%28400%2C400%2C-6%2C6%2C-6%2C6%2C2x-4%2C2x-6%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );