Question

Solve for x and y
3 . 2x+3y=0,3x+4y=5

Answer 1

Hi,


2X + 3Y = 0 --------(1)


And,


3X + 4Y = 5 ---------(2)


From equation (1) we get,



2X + 3Y = 0


2X = -3Y



X = (-3Y/2) -------(3)


Putting the value of X in equation (2)


3X + 4Y = 5


3 × ( -3Y/2) + 4Y = 5


-9Y/2 + 4Y = 5


-9Y + 8Y = 10


-Y = 10


Y = -10


Putting the value of Y in equation (3)



X = (-3Y/2) = -3 × -10/2 = 30/2


X = 15.


Hence,



X = 15 and Y = -10.