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IRISSAK [1]
2 years ago
11

he work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below: Step 1: 4(2x − 4) = 8 + 2x + 8 Step 2: 6x − 8

= 16 + 2x Step 3: 6x − 2x = 16 + 8 Step 4: 4x = 24 Step 5: x = 6 In which step did the student first make an error and what is the correct step? Step 2; 8x − 4 = 2(6 + x + 6) Step 2; 8x − 16 = 16 + 2x Step 3; 6x − 2x = 16 − 8 Step 3; 6x + 2x = 16 + 8
Mathematics
2 answers:
densk [106]2 years ago
7 0

Answer:

4(2x-4)=8+2x+8

8x-16=16+2x

8x-2x=16+16

6xboth sides over 6

x=5.3repiting

KiRa [710]2 years ago
4 0

Answer:

step 2: 8x-4=2(6+x+6)

Step-by-step explanation:

4(2x - 4) = 8 + 2x + 8 \\ 8x - 16 = 16 + 2x  here \\ 8x - 2x = 16 + 16 \\ 6x = 32 \\  \frac{6x}{6}  =  \frac{32}{6}  \\ x = 5

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Can someone answer this question please?
Slav-nsk [51]

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)

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.

6 0
3 years ago
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