Question

find the value of x and y if ( 5x - 3y, 3x-y ) = ( 16,12 )

Answer 1

Answer:

x = 5, y = 3

Step-by-step explanation:

5x - 3y = 16  -------> eq 1.

3x - y   = 12

multiply - 3 on both sides,

- 9x + 3y = - 36 -------> eq 2.

Add eq 1 and eq 2,

5x - 3y = 16

-9x +3y = -36

__________

-4x + 0 = -20

-4x = -20

x = - 20 / - 4

x = 5

subs in eq 1,

5x - 3y = 16

5 ( 5 ) - 3y = 16

25 - 3y = 16

- 3y = 16 - 25

- 3y = - 9

y = - 9 / - 3

y = 3