The statements are true about the ordered pair (-1,-4) and the system of equations are shown by options A), C), and F) and this can be determined by using the substitution method.
Given :
Ordered Pair -- (-1,-4)
System of equation -- (x - y = 3) ; (7x - y = -3)
The following steps can be used in order to determine the true statements about the ordered pair (-1,-4):
Step 1 - Write the given system of equations.
(x = y + 3) --- (1)
(7x - y = -3) --- (2)
Step 2 - Now, substitute the value of 'x' in equation (2).
7(y + 3) - y = -3
7y + 21 - y = -3
6y = -24
y = -4
Step 3 - Now, substitute the value of 'y' in equation (1).
x = -4 + 3
x = -1
Therefore, the correct options are A), C), and F).
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