document.write( "Question 1027625: For what values of k does the line y = kx –4 pass through the point of intersection of the lines y=2x–5 and y=–x+1? \n" ); document.write( "
Algebra.Com's Answer #642874 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
2.00 x -1.00 y = 5.00 .............1
\n" ); document.write( "Total value
\n" ); document.write( "1.00 x + 1.00 y = 1.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 1.00
\n" ); document.write( "Multiply (2) by 1.00
\n" ); document.write( "2.00 x -1.00 y = 5.00
\n" ); document.write( "1.00 x + 1.00 y = 1.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "3.00 x = 6.00
\n" ); document.write( "/ 3.00
\n" ); document.write( "x = 2.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "2.00 x -1.00 y = 5.00
\n" ); document.write( "4.00 -1.00 y = 5.00
\n" ); document.write( " -1.00 y = 5.00 -4.00
\n" ); document.write( " -1.00 y = 1.00
\n" ); document.write( " y = -1.00 \r
\n" ); document.write( "\n" ); document.write( "(2,-1) lies on the line y=kx-4\r
\n" ); document.write( "\n" ); document.write( "plug (2,-1)\r
\n" ); document.write( "\n" ); document.write( "-1=2k-4\r
\n" ); document.write( "\n" ); document.write( "2k=3
\n" ); document.write( "k=3/2
\n" ); document.write( " \n" ); document.write( "
\n" );