Find the values of the x & y through this equations: 2x+3y=9 , 3x+4y=5.
Equate to get the value of x:
2x+3y=9
2x=9-3y
x = ( 9-3y ) / 2
Substitute the value of x to get y:
3x+4y=5
3 ( ( 9-3y ) / 2 ) + 4y = 5
( 27-9y ) / 2 + 4y = 5
( 27 - 9y + 8y ) / 2 = 5
( 27 - y ) / 2 = 5
27 - y = 10 ( cross multiply )
y = 17
x = - 21