Solve the system 2x 3y 1 5x 4y 14 Solve the system 12 x

Solve the system 2x - 3y = 1 5x + 4y = 14 Solve the system 1/2 x + 2/3 y = -2 3/4 x - 1/2 y = 6

2x - 3y =1 ----(1)

5x + 4y = 14 ----(2)

solve by elimination:

multiply equ. 1 by 4 and equation 2 by 3:

8x - 12y = 4

15x + 12y = 42

------------------- add

23x = 46 ; x = 2

2x - 3y =1 ; 4 - 3y = 1

3y = 3 ; y =1

(x, y) = ( 2, 1)