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The lines $-2x + y = k$ and $0.5x + y = 14$ intersect when $x = -8.4$. What is the value of $k$?

 Apr 14, 2018
 #1
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-2x+y = k     and .5x + y = 14        Use the second equation to find y when x = -8.4

                          .5(-8.4) + y = 14      results in y = 18.2

 

Sub this into the FIRST equation to comput value for k

-2(-8.4) + 18.2 = k         k=35

Here is a graph:

 

 Apr 14, 2018

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