(a) In the system 3x 4y 7 4v 5 y 1 substitute the new variables x Ecirc sup1 and y Ecirc sup1 given by x 5x Ecirc sup1 4y Ecirc sup1 y 4x Ecirc sup1 3y Ecirc sup1 Then find x and y (b) Explain part (a) by writing the equations as What is the relationship between A and B Generalize and x B

Question: (a) In the system 3x + 4y = 7 4v + 5 y = 1 substitute the new variables xÊ¹ and yÊ¹ given by x

(a) In the system
3x + 4y = 7
4v + 5 y = 1
substitute the new
variables xÊ¹ and yÊ¹ given by
x = - 5xÊ¹ + 4yÊ¹
y = 4xÊ¹ - 3yÊ¹.
Then find x and y.
(b) Explain part (a) by writing the equations as

What is the relationship between A and B? Generalize.

| and | x |=B

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