document.write( "Question 1179778: During one month, a homeowner used 300 units of electricity and 140 units of gas for a total cost of $106.20. The next month, 250 units of electricity and 250 units of gas were used for a total cost of $112.50. Find the cost per unit of gas. \n" ); document.write( "
Algebra.Com's Answer #809367 by ikleyn(52780)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "During one month, a homeowner used 300 units of electricity and 140 units of gas \n" ); document.write( "for a total cost of $106.20. The next month, 250 units of electricity and 250 units of gas \n" ); document.write( " were used for a total cost of $112.50. Find the cost per unit of gas. \n" ); document.write( "~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Write equations as you read \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 300E + 140G = 106.20 (1)\r\n" ); document.write( "\r\n" ); document.write( " 250E + 250G = 112.50 (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You need find G. Use the determinant method (the Cramer's rule)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " G =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Do not be scared seeing this long formula filled with numbers.\r \n" ); document.write( "\n" ); document.write( "You can get the answer in ONE CLICK copying this formula into the Excel spreadsheet \n" ); document.write( "or using this convenient online calculator www.desmos.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On the Determinants' method for solving systems of two linear equations in two unknowns see the lesson \r \n" ); document.write( "\n" ); document.write( " - Solution of the linear system of two equations in two unknowns using determinant \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |