Question

MDI Solve the following system -2x + 2y = -2 2x + 3y = 12

Answer 1

Answer:

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