Answer:
it has one solution (0,1)
Step-by-step explanation:
1)eliminate y
x + 2y + x -2y = 0
2x = 0 x = 0
2)eliminate x
x + 2y - x + 2y = 4
4y = 4
y = 1
Answer:
Option 3 - It has one solution (0, 1).
Step-by-step explanation:
Given : The system of equations,
Equation 1 - [tex]x+2y=2[/tex]
Equation 2 - [tex]x-2y=-2[/tex]
To find : Which statement describes the system of equations?
Solution :
We solve equation 1 and 2,
Add equation 1 and 2,
[tex]x+2y+x-2y=2-2[/tex]
[tex]2x=0[/tex]
[tex]x=0[/tex]
Substitute in equation 1,
[tex]0+2y=2[/tex]
[tex]y=\frac{2}{2}[/tex]
[tex]y=1[/tex]
The solution of the equations is (0,1).
So, It has one solution (0, 1).
Therefore, Option 3 is correct.
