(-3.5x+1.7)+(9.1×-0.3)
1 answer:
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Answer:
see below
Step-by-step explanation:
Put -1 where x is in each expression and evaluate it.
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You will find that the expression is zero when the numerator is zero. And you will find the numerator is zero when it has a factor that is equivalent to ...
(x +1)
Substituting x=-1 into this factor makes it be ...
(-1 +1) = 0
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Evaluating the first expression, we have ...
This first expression is one you want to "check."
You can see that the reason the expression is zero is that x+1 has a sum of zero. You can look for that same sum in the other expressions. (The tricky one is the one with the factor (x -(-1)). You know, of course, that -(-1) = +1.)
Answer:
Therefore,
(x , y) YES / NO
(-4, -5) Yes, It is a Solution.
(1 , - 3) No, not a Solution.
(9 , 6) No, not a Solution.
(-6 , 2) No, not a Solution.
Step-by-step explanation:
Given:
To Determine:
Given ordered pair is a solution or not ?
Solution:
For (-4,-5)
Substitute x = -4 and y = -5 in above equation
Left Hand Side = 4 × (-4) - 7 × (-5)
= -16+35
= 19
Right Hand Side = 19
Left Hand Side = Right Hand Side
Satisfied
Hence (-4, -5) is the SOLUTION to 4x - 7y =19 (YES)
For (1, -3)
Substitute x = 1 and y = -3 in above equation
Left Hand Side = 4 × (1) - 7 × (-3)
= 25
Right Hand Side = 19
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (1, -3) is NOT the Solution to 4x - 7y =19 (NO)
For (9, 6)
Substitute x = 9 and y = 6 in above equation
Left Hand Side = 4 × (9) - 7 × (6)
= -6
Right Hand Side = 19
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (9, 6) is NOT the Solution to 4x - 7y =19 (NO)
For (-6, 2)
Substitute x = -6 and y = 2 in above equation
Left Hand Side = 4 × (-6) - 7 × (2)
= -38
Right Hand Side = 19
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (-6, 2) is NOT the Solution to 4x - 7y =19 (NO)
Therefore,
(x , y) YES / NO
(-4, -5) Yes, It is a Solution.
(1 , - 3) No, not a Solution.
(9 , 6) No, not a Solution.
(-6 , 2) No, not a Solution.