Question

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

Answer 1

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=
`(1)/(2)`

substituting (iv) in (ii)

x=4-2y

x=4-2×
`(1)/(2)`

x=4-1

x=3

∴ B.(3,
`(1)/(2)`)

HOPE IT HELPS YOU!!!!