document.write( "Question 572852: The sum of 3 times a number and 4 times another number is 43. Five times the first number is 3 less than four times the opposite of the second number. Find the numbers.
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document.write( "Choose one answer.
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document.write( " a. -20 and 29
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document.write( " b. -23 and 28
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document.write( " c. 23 and -28
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document.write( " d. 20 and -29 \n" );
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Algebra.Com's Answer #368580 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "1st number = x \n" ); document.write( "2nd number = y\r \n" ); document.write( "\n" ); document.write( "The sum of 3 times a number and 4 times another number is 43 \n" ); document.write( "3x+4y=43.................(1) \n" ); document.write( "Five times the first number is 3 less than four times the opposite of the second number \n" ); document.write( "5x=4(-y)-3 \n" ); document.write( "5x=-4y-3 \n" ); document.write( "5x+4y=-3.................(2) \n" ); document.write( "Subtract (1) from (2) \n" ); document.write( "5x+4y=-3 \n" ); document.write( "-3x-4y=-43 \n" ); document.write( "------------------- \n" ); document.write( "2x=-46 \n" ); document.write( "2x/2=-46/2 \n" ); document.write( "x=-23 \n" ); document.write( "Put the value of x in (1) \n" ); document.write( "3x+4y=43 \n" ); document.write( "3(-23)+4y=43 \n" ); document.write( "-69+4y=43 \n" ); document.write( "4y=43+69 \n" ); document.write( "4y=112 \n" ); document.write( "4y/4=112/4 \n" ); document.write( "y=28\r \n" ); document.write( "\n" ); document.write( "Numbers are -23 and 28\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |