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Alla [95]
3 years ago
5

Solve the system by the addition method 4x=3y-8 -16x+4y=32

Mathematics
1 answer:
butalik [34]3 years ago
6 0
4x = 3y - 8
 4         4
  x = ³/₄y - 2

                  -16x + 4y = 32
       -16(³/₄y - 2) + 4y = 32
-16(³/₄y) + 16(2) + 4y = 32
          -12y + 32 + 4y = 32
          -12y + 4y + 32 = 32
                    -8y + 32 = 32
                           - 32  - 32
                            -8y = 0
                             -8    -8
                               y = 0
x = ³/₄y - 2
x = ³/₄(0) - 2
x = 0 - 2
x = -2

(x, y) = (-2, 0)
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Explanations:

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There is no need for a diagram, but if you want, you can draw one out. See the attached image below for the diagram. This diagram should hopefully answer any questions you may have about the explanations above. There are many ways to draw the triangle, so your diagram might look different from mine.

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