anonymous
  • anonymous
How many solutions exist for the system y = 2x + 5 and y = -0.2x - 4? A. no solution B. one solution C. infinitely many solutions
Mathematics
schrodinger
  • schrodinger
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amistre64
  • amistre64
if we scale the 2nd by -4 we get 2x + 16
amistre64
  • amistre64
same x parts different constants; no solutions
amistre64
  • amistre64
opps, read .5 instead of .2

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amistre64
  • amistre64
same concept tho :)
amistre64
  • amistre64
y = 2x + 5 -y = 0.2x + 4 ------------- 0 = 2.2x + 9 x = -9/2.2
amistre64
  • amistre64
if that x produces the same ys were good
amistre64
  • amistre64
http://www.wolframalpha.com/input/?i=y+%3D+2x+%2B+5+and+y+%3D+-0.2x+-+4 says were good with one solution
anonymous
  • anonymous
Change -0.2 to -(2/10) and solve the following for x and y:\[\left\{y=2 x+5,y=-\frac{x}{5}-4\right\} \]\[\left\{x=-\frac{45}{11},y=-\frac{35}{11}\right\} \]

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