Answer:
Step-by-step explanation:
(A)The given equations are:
and ![x+y=3](https://tex.z-dn.net/?f=x%2By%3D3)
Taking the ordered pair (3,0),
and
which is satisfied. Thus, option A (3,0) is correct.
(B) The two equations are:
and ![x+y=3](https://tex.z-dn.net/?f=x%2By%3D3)
Adding both the equations, we get
![2x=6](https://tex.z-dn.net/?f=2x%3D6)
![x=3](https://tex.z-dn.net/?f=x%3D3)
Therefore, substituting the value of x in any of the two given equations,
![3-y=3](https://tex.z-dn.net/?f=3-y%3D3)
![y=6](https://tex.z-dn.net/?f=y%3D6)
Hence, x=3 and y=6
(C) Let "b" represents Becky's score and "C" be Cathy's score.
Then, According to the question, we get
and ![b+c=185](https://tex.z-dn.net/?f=b%2Bc%3D185)
Thus, Option B is correct.
(D) The given equations are:
and ![x=y+5](https://tex.z-dn.net/?f=x%3Dy%2B5)
Now, substituting the value of x=y+5 in the equation
, we get
![(y+5)+y=6](https://tex.z-dn.net/?f=%28y%2B5%29%2By%3D6)
Thus, option C is correct.