document.write( "Question 390460: 2. X = 2-seat tables
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document.write( "y = 4-seat tables \r
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document.write( "2x + 4y = 56 (max)
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document.write( "x + y = 17 \r
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document.write( "Solve for x and y that allows the maximum number of customers
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document.write( "2x + 2y = 34
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document.write( "2y = 22
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document.write( "y = 11
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document.write( "x = 6
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document.write( "2. Use the system of equations from number 1 and solve using the substitution method to determine how many of each type of table should be purchased. Explain or show work for all steps used to solve the problem.\r
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document.write( "I have problems with subsitutions can I please have help with the answer thank you \n" );
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Algebra.Com's Answer #276857 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! 2x+4y=56_x+y=17\r \n" ); document.write( "\n" ); document.write( "Since y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting y from both sides. \n" ); document.write( "2x+4y=56_x=-y+17\r \n" ); document.write( "\n" ); document.write( "Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is -y+17. \n" ); document.write( "2(-y+17)+4y=56_x=-y+17\r \n" ); document.write( "\n" ); document.write( "Multiply 2 by each term inside the parentheses. \n" ); document.write( "-2y+34+4y=56_x=-y+17\r \n" ); document.write( "\n" ); document.write( "Since -2y and 4y are like terms, subtract 4y from -2y to get 2y. \n" ); document.write( "2y+34=56_x=-y+17\r \n" ); document.write( "\n" ); document.write( "Since 34 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 34 from both sides. \n" ); document.write( "2y=-34+56_x=-y+17\r \n" ); document.write( "\n" ); document.write( "Add 56 to -34 to get 22. \n" ); document.write( "2y=22_x=-y+17\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 2. \n" ); document.write( "(2y)/(2)=(22)/(2)_x=-y+17\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors. \n" ); document.write( "y=(22)/(2)_x=-y+17\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "y=11_x=-y+17\r \n" ); document.write( "\n" ); document.write( "Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 11. \n" ); document.write( "y=11_x=-(11)+17\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by the 11 inside the parentheses. \n" ); document.write( "y=11_x=-11+17\r \n" ); document.write( "\n" ); document.write( "Add 17 to -11 to get 6. \n" ); document.write( "y=11_x=6\r \n" ); document.write( "\n" ); document.write( "This is the solution to the system of equations. \n" ); document.write( "y=11_x=6 \n" ); document.write( " |