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1.5(x - 0.7) - 0.5 = 2.1(y + 1.7) - 0.2

c(y -x) = 11.7

 

consider the system of equations above, where c is a constant. For which value of c is (x,y) = (2.3, -0.7) a solution?

Guest Feb 27, 2017
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 #1
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Because the second equation is the only one with c we only have to worry about it. We start with: 
c(y-x)=11.7
dividing by (y-x) we get;
c=11.7/(y-x)

with this in mind, we know that the solution occurs at (2.3, -0.7) so we can plug that point right in
c=11.7/((-.7)-(2.3))
Which gives us c = -3.9
 

SirReginald  Feb 27, 2017

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