Question

What is the solution to this system of equations?

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

A)(3, Negative 5 and one-half)
B)(3, one-half)
C)no solution
D)infinitely many solutions

Answer 1

Answer: B

Explanation: x+2y=4 equ①

2x-2y=5 equ②

Add:equ①+②

3x =9

x =3

Substitute x=3 in equ ①

3+2y=4

2y =1

y =1/2

Answer 2

The answer would be B (3, one-half)

Step-by-step explanation:
If you add the two equations together, the +2y and -2y cancel out, leaving 3x=9.
So, we know that x is three (9/3=3)
Substitute x as 3 in either equation (I used the first)
3+2y=4
2y=1
y= 1/2

So, x is 3 and y is one-half, making the answer B