document.write( "Question 1136284: Given that 3x + 2y = 5a + b and 4x - 3y = a + 7b, solve for x in terms of a and b. \n" ); document.write( "

Algebra.Com's Answer #754054 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "3x + 2y = 5a +  b     (1)\r\n" );
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document.write( "4x - 3y =  a + 7b     (2)\r\n" );
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document.write( "I think that the shortest (the most straightforward) way to get the goal is to eliminate \"y\".\r\n" );
document.write( "For it, multiply eq(1) by 3 (both sides) and multiply eq(2) by 2. You will get\r\n" );
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document.write( "9x + 6y = 15a + 3b     (3)\r\n" );
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document.write( "8x - 6y =  2a + 14b    (4)\r\n" );
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document.write( "Now add eq(4) and eq(3).  You will get \r\n" );
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document.write( "17x = 17a + 17b   ========>  x = a + b.      ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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