Can someone answer this question please?
1 answer:
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.
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Hi there!
We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.