What is the solution to this system of equations?
X+ 2y = 4
2x-2y =5
A. (3,-5 and 1/2)
B. (3, 1/2)
C. no solution
D. infinitely many solutions

Respuesta :

Answer:

Step-by-step explanation:

(i) x+2y=4

(ii) x=4-2y

(iii) 2x-2y=5  

substituting (ii) in (iii)

2x-2y=5

2(4-2y)-2y=5

8-4y-2y=5

-6y=5-8

-6y=-3

(iv) y=[tex]\frac{1}{2}[/tex]              

substituting (iv) in (ii)

x=4-2y

x=4-2×[tex]\frac{1}{2}[/tex]

x=4-1

x=3

∴ B.(3,[tex]\frac{1}{2}[/tex])

HOPE IT HELPS YOU!!!!