document.write( "Question 101436: Hello out there,I really need some help with some tough problems,the first one is,Solve the system of linear equations by graphing:4x-y=6 and 3x+y=1.The next one is,Use substitution to solve : 2x+y=7 and 5x-2y=4.The third one is,Use substitution to solve: x=3y-2 and 2x+4y=16.And the last one is,Find the solution of the system y=x^2+5 and y=2x+4.Thanks to whoever can help. \n" ); document.write( "
Algebra.Com's Answer #73853 by vertciel(183)![]() ![]() ![]() You can put this solution on YOUR website! Hello there,\r \n" ); document.write( "\n" ); document.write( "1. Graph 4x - y = 6 and 3x + y = 1\r \n" ); document.write( "\n" ); document.write( "I recommend reading http://www.purplemath.com/modules/graphlin.htm first. This should help.\r \n" ); document.write( "\n" ); document.write( "2. 2x + y = 7 and 5x - 2y = 4\r \n" ); document.write( "\n" ); document.write( "We'll substitute in y since it is easier.\r \n" ); document.write( "\n" ); document.write( "2x + y = 7\r \n" ); document.write( "\n" ); document.write( "y = 7 - 2x\r \n" ); document.write( "\n" ); document.write( "Substitute y into 5x - 2y = 4:\r \n" ); document.write( "\n" ); document.write( "5x - 2(7 - 2x) = 4\r \n" ); document.write( "\n" ); document.write( "5x - 14 + 2x = 4\r \n" ); document.write( "\n" ); document.write( "3x = 18\r \n" ); document.write( "\n" ); document.write( "x = 6\r \n" ); document.write( "\n" ); document.write( "Therefore, y = 7 - 2(6)\r \n" ); document.write( "\n" ); document.write( "= -5 \r \n" ); document.write( "\n" ); document.write( "3. x = 3y - 2 and 2x + 4y = 16 \r \n" ); document.write( "\n" ); document.write( "Try it yourself. See if you can solve this from question 2. \r \n" ); document.write( "\n" ); document.write( "4. y = x^2 + 5 and y = 2x + 4\r \n" ); document.write( "\n" ); document.write( "You can just set these equations equal to each other because they both equal y.\r \n" ); document.write( "\n" ); document.write( "x^2 + 5 = 2x + 4\r \n" ); document.write( "\n" ); document.write( "x^2 - 2x + 1 = 0\r \n" ); document.write( "\n" ); document.write( "Do you know how to solve equations with a square power?\r \n" ); document.write( "\n" ); document.write( "If not, you can graph the two equations and find the point of intersection.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |