Question

find the value of x and y if (5x-3y, y-3x) =(4,-4)​

Answer 1

Answer:

x=2

y=2

5x-3y=4........(1)

-3x+y=4.........(2)

2x-2y = 0

therefore 2(x-y) = 0

x-y = 0

So y=x...........(3)

Substitute (3) into (1)

5x-3x = 4

2x=4

x=2

From (3) we know x=y

So y=2

Answer 2

Answer:

(5x-3y, y-3x)=(4, -4)

it is possible only when corresponding elements are equal

5x-3y=4 (1)

y-3x= -4

3x-y= -4 (2)

(2)×3

9x-3y= -12 (3)

Substract (3) from (1)

-4x=16

x= -16/4

x= -4

put x= -4 in equation (2)

3(-4)-y= -4

-12-y= -4

y= -12+4

y= -8