document.write( "Question 157897: Please help me solve these problems
\n" ); document.write( "3x-5y=-8 & 6x+61=y
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Algebra.Com's Answer #116346 by gonzo(654)\"\" \"About 
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a straight substitution should solve this.
\n" ); document.write( "two equations.
\n" ); document.write( "3*x-5*y = (-8)
\n" ); document.write( "6*x+61 = y
\n" ); document.write( "substitute 6*x+61 for y in the first equation which becomes
\n" ); document.write( "3*x-5*(6*x+61)=(-8) which becomes
\n" ); document.write( "3*x-30*x-305=(-8) which becomes
\n" ); document.write( "-27*x=297 which becomes
\n" ); document.write( "-x=11 which becomes
\n" ); document.write( "x=-11
\n" ); document.write( "substituting x = -11 in the first equation yields
\n" ); document.write( "3*(-11)-(5*y)=(-8)
\n" ); document.write( "-33-(5*y)=(-8)
\n" ); document.write( "-5*y=25
\n" ); document.write( "-y=5 which becomes
\n" ); document.write( "y=-5
\n" ); document.write( "answer is x = -11 and y = -5
\n" ); document.write( "substituting in the original equation we get 3*(-11)-5*(-5)=-8 which becomes
\n" ); document.write( "-33+25=-8
\n" ); document.write( "which becomes -8=-8 proving values for x and y are correct.
\n" ); document.write( "in the second equation 6(-11)+61=-5 which becomes
\n" ); document.write( "-66+61=-5 which becomes
\n" ); document.write( "-5=-5 proving the values are correct for the second equation.\r
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