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.
\n" ); document.write( "Choose one answer.
\n" ); document.write( " a. -20 and 29
\n" ); document.write( " b. -23 and 28
\n" ); document.write( " c. 23 and -28
\n" ); document.write( " d. 20 and -29
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Algebra.Com's Answer #368580 by Maths68(1474)\"\" \"About 
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
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\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
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