MDI

Solve the following system

-2x + 2y = - 2

2x + 3y = 12

x = 2.25, y = 2.5

Step-by-step explanation:

-2x + 2y = - 2 ... equ (1)

2x + 3y = 12 ... equ (2)

equ (1) + equ (2)

-2x + 2y = - 2

+ 2x + 2y = 12

=> 0 + 4y = 10

=> 4y/4 = 10/4

=> y = 2½

Substitute for y in equ (2)

i. e, 2x + 3y = 12

=> 2x + 3 (10/4) = 12

=> 2x + 30/4 = 12

=> 2x = 12 - 30/4

=> 2x = (48 - 30) / 4

=> 2x = 18/4

=> 8x = 18

=> x = 18/8

=> x = 2^2/8 or 2.25

x = 2.25, y = 2.5