nuccioreggie
  • nuccioreggie
A pair of equations is shown below. x + y = 5 y = one halfx + 2 If the two equations are graphed, at what point do the lines representing the two equations intersect? (2, 5) (5, 2) (2, 3) (3, 2)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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pooja195
  • pooja195
Graph the two problems here: https://www.desmos.com/calculator And figure out where they intersect, you can also solve by using substitution
Michele_Laino
  • Michele_Laino
according to the observation of @pooja195 if I substitute the value of \(y\) from second equation, into the first one, I get: \[\huge x + \left( {\frac{x}{2} + 2} \right) = 5\] please solve for \(x\)
nuccioreggie
  • nuccioreggie
x=2

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More answers

Michele_Laino
  • Michele_Laino
that's right!
Michele_Laino
  • Michele_Laino
now, please replace \(x=2\) into the second equation, you should get this: \[\huge y = \frac{x}{2} + 2 = \frac{2}{2} + 2 = ...?\]
nuccioreggie
  • nuccioreggie
b
Michele_Laino
  • Michele_Laino
in option B, we have \(x=5\), and not \(x=2\)
nuccioreggie
  • nuccioreggie
so whats the correct answer
Michele_Laino
  • Michele_Laino
no, please here is another hint: \[\huge y = \frac{x}{2} + 2 = \frac{2}{2} + 2 = 1 + 2 = ...?\]
Michele_Laino
  • Michele_Laino
so, \(y=...?\)
nuccioreggie
  • nuccioreggie
A
Michele_Laino
  • Michele_Laino
I got \(y=3\), so, what is the right option?
Michele_Laino
  • Michele_Laino
if \(x=2\) and \(y=3\) then the solution is given by the ordered pair \((2,3)\)
nuccioreggie
  • nuccioreggie
c
Michele_Laino
  • Michele_Laino
that's right!

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