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miv72 [106K]
4 years ago
13

Two lines, A and B, are represented by the equations given below:

Mathematics
1 answer:
Vika [28.1K]4 years ago
3 0
Let's actually find the sol'n set.

<span>Line A: 2x + 2y = 8
Line B: x + y = 4

becomes

</span><span> 2x + 2y = 8
   x +   y = 4
------------------   Multiply the 2nd equation by -2, obtaining -2x - 2y = -8,         
                         and then add your result to the first equation:

</span> 2x + 2y = 8
-2x - 2y = -8
-------------------   Combine all 3 columns.
  0   +  0  = 0

0 always = 0, so there are infinitely many solutions to this system.

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