document.write( "Question 494308: the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times the second is 95. Find the numbers.
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Algebra.Com's Answer #335773 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let x and y are two numbers \n" ); document.write( "According to given conditions \n" ); document.write( "7x-3y=25 ………..(1) \n" ); document.write( "2x+5y=95……..(2)\r \n" ); document.write( "\n" ); document.write( "Multiply (1) by 2 and (2) by -7 and add \n" ); document.write( "14x-6y=50 \n" ); document.write( "-14x-35y=-665 \n" ); document.write( "--------------------- \n" ); document.write( "-41y=-615\r \n" ); document.write( "\n" ); document.write( "y=-615/-41 \n" ); document.write( "y=15 \n" ); document.write( "Put the value of y in either equations (1) or (2) to get x \n" ); document.write( "2x+5y=95……..(2) \n" ); document.write( "2x+5(15)=95 \n" ); document.write( "2x+75=95 \n" ); document.write( "2x=95-75 \n" ); document.write( "2x=20 \n" ); document.write( "x=20/2 \n" ); document.write( "x=10\r \n" ); document.write( "\n" ); document.write( "Numbers are 10 and 15\r \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "Put the value of x and y in either equations (1) or (2) \n" ); document.write( "7x-3y=25………..(1) \n" ); document.write( "7(10)-3(15)=25 \n" ); document.write( "70-45=25 \n" ); document.write( "25=25 \n" ); document.write( " \n" ); document.write( " |