Answer:
(0, 0) is a solution to n = m
Step-by-step explanation:
We have the system of equations:
[tex]n = m \\ n = 4m[/tex]
When we substitute the top equation into the bottom equation, we get:
[tex]m = 4m[/tex]
Subtract m from both sides to get:
[tex]0 = 3m[/tex]
Divide through by 3
[tex]0 = m[/tex]
Or
[tex]m = 0[/tex]
But we know n=m, therefore n=0.
Therefore (0,0) is a solution to the system.
The true statement is (0, 0) is a solution to n = m
The following information should be considered:
n = m
n = 4m
At the time of substitute the top equation into the bottom equation, we get:
m = 4n
Now subtract m from both the sides
0 = 3m
Now divided it by 3
0 = m
or m = 0
And, n = m
Son the above statement should be true.
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