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2 years ago

What is the solution of the matrix equation?

Mathematics

1 answer:

katrin [286]2 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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