document.write( "Question 1077466: The sum of two numbers is eight. If seven times the smaller number is negative five times the larger number, find the numbers. \n" ); document.write( "
Algebra.Com's Answer #691950 by Herdaysoji(25)\"\" \"About 
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first number=x
\n" ); document.write( "second number=y
\n" ); document.write( "x+y=8, but7y=-5x, 5x+7y=0
\n" ); document.write( "simultaneous equation
\n" ); document.write( "x+y=8
\n" ); document.write( "5x+7y=0
\n" ); document.write( "multiply with the coefficients of x(which are 5 and 1) and introduce negative to second equation
\n" ); document.write( "5*(x+y=8)=5x+5y=40.......(equ 1)
\n" ); document.write( "1*(5x+7y=0)=-(5x+7y=0)...... (equ 2)
\n" ); document.write( ".'.5x cancels -5x
\n" ); document.write( "so, 5y=40
\n" ); document.write( " -7y=0
\n" ); document.write( "I.e-2y=40 , (divide both side by -2),y=-20
\n" ); document.write( "substitute y into equation 1
\n" ); document.write( "x+y=8, x+(-20)=8
\n" ); document.write( "x-20=8, x=8+20, I.e x=28
\n" ); document.write( "so x=28, y=-20
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