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Svetradugi [14.3K]
3 years ago
15

8 1/6 - 2 7/8 = BRAINLIEST

Mathematics
2 answers:
ivann1987 [24]3 years ago
6 0

Answer:

5 7/24

Step-by-step explanation:

Convert to improper: 49/6-23/8=254/48 which is 5 7/24

Hope this helps plz mark brainliest :D

viktelen [127]3 years ago
6 0

Answer:

5  7/24≈5.292

Step-by-step explanation:

Subtract

8  1/6 -2 and 7 over 82=127 over 2

Convert mixed number to improper fraction

8 1/6= 8x6/6+ 1/6=16+7/8=23/8

Convert mixed number to improper fraction

2 7/8= 2x8/8+7/8=16+7/8=23/8

Find common denominator

49/6-69/24=196-69/24=127/24

24 is the least common multiple of denominators 6 and 8. Use it to convert to equivalent fractions with this common denominator.

Subtract

196/24- 69/24= 196-69/24=127/24

Simplify

127/24= 5 7/24

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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:

4x-7y=19

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)

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(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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