document.write( "Question 1188757: Solve and determined the graph of linear equation of lines -2x+y= 2 and x+5= 1, and find the intersection point \n" ); document.write( "
Algebra.Com's Answer #819934 by Theo(13342)![]() ![]() You can put this solution on YOUR website! first equation is -2x + y = 2 \n" ); document.write( "second equation is x + 5 = 1 \n" ); document.write( "subtract 5 from both sides of the second equation and leave the first equation as is to get: \n" ); document.write( "-2x + y = 2 \n" ); document.write( "x = -4 \n" ); document.write( "replace x with -4 in the first equation to get: \n" ); document.write( "-2*-4 + y = 2 \n" ); document.write( "simp;lify to get: \n" ); document.write( "8 + y = 2 \n" ); document.write( "subtract 8 from both sides of the equation to get: \n" ); document.write( "y = 2 - 8 \n" ); document.write( "solve for y to get: \n" ); document.write( "y = -6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have x = -4 and y = -6. \n" ); document.write( "replace the origijnal 2 equations with those values to see if they hold true. \n" ); document.write( "-2x + y = 2 becomes -2 * -4 - 6 = 2 which becomes 2 = 2. \n" ); document.write( "x + 5 = 1 becomes -4 + 5 = 1 which becomes 1 = 1. \n" ); document.write( "both equations are true. \n" ); document.write( "solution is good. \n" ); document.write( "solution is that x = -4 and y = -6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's the graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() |