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irina1246 [14]
3 years ago
8

What is the solution of the matrix equation?

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Hello from MrBillDoesMath!

Answer:

The first choice ( -12, 20)



Discussion:

Using matrix multiplication we find the equations:


1x  + 1y = 8                     (A)

2x  + 3y = 36                   (B)


Next, compute

  2(A) - B  =>

         (2x + 2y) - (2x + 3y) = 2*8 - 36    =>

          (2x - 2x) + ( 2y-3y) = 16 - 36 =>

          -y = -20  =>

         y = 20


Substituting this y value in (A) gives

         x + 20 = 8 =>

         x = 8 - 20 =>

        x = -12


The answer is the first choice ( -12, 20)


Thank you,

MrB

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