Answer:
Step-by-step explanation:
(A)The given equations are:
[tex]x-y=3[/tex] and [tex]x+y=3[/tex]
Taking the ordered pair (3,0),
[tex]3-0=3[/tex] and [tex]3+0=3[/tex] which is satisfied. Thus, option A (3,0) is correct.
(B) The two equations are:
[tex]x-y=3[/tex] and [tex]x+y=3[/tex]
Adding both the equations, we get
[tex]2x=6[/tex]
[tex]x=3[/tex]
Therefore, substituting the value of x in any of the two given equations,
[tex]3-y=3[/tex]
[tex]y=6[/tex]
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
[tex]b=c-5[/tex] and [tex]b+c=185[/tex]
Thus, Option B is correct.
(D) The given equations are:
[tex]x+y=6[/tex] and [tex]x=y+5[/tex]
Now, substituting the value of x=y+5 in the equation[tex]x+y=6[/tex], we get
[tex](y+5)+y=6[/tex]
Thus, option C is correct.
