document.write( "Question 82924: If for two linear equations f(x) = k and g(x) = -f(x), what can be said about the system of equations f(x) and g(x)?\r
\n" ); document.write( "\n" ); document.write( "A. They are consistent.\r
\n" ); document.write( "\n" ); document.write( "B. They are dependent.\r
\n" ); document.write( "\n" ); document.write( "C. They are inconsistent.\r
\n" ); document.write( "\n" ); document.write( "D. Insufficient information. \n" ); document.write( "

Algebra.Com's Answer #59488 by jim_thompson5910(35256) $\"\"$ $\"About$

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Lets say you let k=5, then f(x)=3. Since g(x)=-f(x), this means g(x)=-3 (the opposite of f(x)). So if we graph the two equations we get:\r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3%2C-3%29+\"$ graph of $\"y=3\"$ and $\"y=-3\"$ \r
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\n" ); document.write( "\n" ); document.write( "From this we can see that since these two lines are parallel, they will never intersect. So they are inconsistent. \n" ); document.write( "

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