What is the solution to this system of equations?

x+2y=4

2x-2y = 5

(3 - 5 1 2 3

no solution

infinitely many solutions

(x, y) = (3, 1/2)

Step-by-step explanation:

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations ...

To solve this, add the equations;

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

3x = 9

x = 3

substitute the value of x into the first equation,

3 + 2y = 4

2y = 4 - 3

2y = 1

y = 1/2