document.write( "Question 81168: Solve the following system by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.
\n" ); document.write( "10x+2y=7
\n" ); document.write( "y=-5x+3 \n" ); document.write( "
Algebra.Com's Answer #58183 by stanbon(75887)\"\" \"About 
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Solve the following system by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.
\n" ); document.write( "10x+2y=7
\n" ); document.write( "y=-5x+3
\n" ); document.write( "----------
\n" ); document.write( "Substitute to get:
\n" ); document.write( "10x+2(-5x+3)=7
\n" ); document.write( "10x-10x+6 = 7
\n" ); document.write( "6=7
\n" ); document.write( "This is a contradiction that arose because we assumed the
\n" ); document.write( "\"x\" and the \"y\" variables in the two equation meant the
\n" ); document.write( "same number.
\n" ); document.write( "That assumption led to the contradiction that 6=7.
\n" ); document.write( "Our assumption was wrong.
\n" ); document.write( "The system is said to be \"inconsistent\".
\n" ); document.write( "=============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );