document.write( "Question 1172822: During a football season one team scored 23 goals more than the other. Between them they scored 135goals. How many goals did each team score \n" ); document.write( "

Algebra.Com's Answer #797930 by ikleyn(52798) $\"\"$ $\"About$

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\n" ); document.write( "During a football season one team scored 23 goals more than the other. Between them they scored 135 goals.
\n" ); document.write( "How many goals did each team score
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\n" ); document.write( "\n" ); document.write( " There are several ways to solve this and similar problems.\r
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\n" ); document.write( "\n" ); document.write( "One way to solve for very beginning students\r
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document.write( "    one team scores + team scores = 135   scores, in all.\r\n" );
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document.write( "        x           +  (x - 23)   = 135\r\n" );
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document.write( "       2x                         = 135 + 23 = 158\r\n" );
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document.write( "        x                         = 158/2 = 79\r\n" );
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document.write( "    ANSWER.  One tewm scored 79;  the other team scored 79-23 = 56.\r\n" );
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document.write( "    CHECK.   79 + 56 = 135 scores, total.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "ANOTHER way to solve for more mature students\r
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document.write( "You write the system of two equations\r\n" );
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document.write( "    x + y = 135      (1)   (x = one tem scores;  y = the other team scores)\r\n" );
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document.write( "    x - y =  23      (2)\r\n" );
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document.write( "and add equations.\r\n" );
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document.write( "You get then  2x = 135+23 = 158;  x = 158/2 = 79.\r\n" );
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document.write( "As the last step, from equation (1)  y = 135 - 79 = 56.\r\n" );
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document.write( "You get the same answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Third way for mature experts, who solved such problems tens and hundreds of times\r
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document.write( "They know that one team get half the sum  of given numbers   = 79,\r\n" );
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document.write( "         while the other team get half the difference of given numbers   = 56.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, explained and completed.\r
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\n" ); document.write( "\n" ); document.write( "If you want to see a million similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Word problems that lead to a simple system of two equations in two unknowns \r
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\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
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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