What is the solution to this system of equations?

X + 2y = 4

| 2x-2y = 5

(3.-5)

(3.)

no solution

infinitely many solutions

Answer:x=3 y=1/2

Step-by-step explanation:

x+2y=4

2x-2y=5

Add both equations together

x+2x+2y-2y=4+5

3x+0=9

3x=9

Divide both sides by 3

3x/3=9/3

x=3

Substitute x=3 in x+2y=4

x+2y=4

3+2y=4

Collect like terms

2y=4-3

2y=1

Divide both sides by 2

2y/2=1/2

y=1/2