Question

What is the solution to this system of equations?

X+ 2y = 4
| 2x-2y = 5
(3.-5)
(3.)
no solution
infinitely many solutions

Answer 1

Answer:x=3 y=1/2

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