document.write( "Question 1196230: During one month, a homeowner used 200 units of electricity and 110 units of gas for a total cost of $87.80. The next month, 240 units of electricity and 200 units of gas were used for a total cost of $117.60. Find the cost per unit of gas. \n" ); document.write( "
Algebra.Com's Answer #828980 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "During one month, a homeowner used 200 units of electricity and 110 units of gas for a total cost of $87.80. \n" ); document.write( "The next month, 240 units of electricity and 200 units of gas were used for a total cost of $117.60. \n" ); document.write( "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 the system of two equations\r\n" ); document.write( "\r\n" ); document.write( " 200e + 110g = 87.80\r\n" ); document.write( "\r\n" ); document.write( " 240e + 200g = 117.60\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "where \"e\" is the price for the unit of electricity and \"g\" is the price for the unit of gas.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Solve using determinants\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( "-------------------\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( " |