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Arisa [49]
2 years ago
8

A note shows solving an equation. First line. 5 c minus 6 equals 4 minus 3 c. Second line. 2 c minus 6 equals 4. Third line. 2 c

equals 10. Fourth line. c equals 5
In the third step, you should add $4$ to each side, not $6$ .
In the third step, you should add , 4, to each side, not , 6, .

In the third step, you should add $-6$ to each side, not $6$ .
In the third step, you should add , negative 6, to each side, not , 6, .

In the second step, you should add $3c$ to the left side, not subtract $3c$ .
In the second step, you should add , 3 c, to the left side, not subtract , 3 c, .

In the second step, you should add $5c$ to each side, not $3c$ .
In the second step, you should add , 5 c, to each side, not , 3 c.
Question 2
Correct the error.
Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
4 0

The error is in the second step, where you should add in both sides 3c, instead of subtracting 3 c.

The actual solution of the linear equation is c = 5/4.

<h3>Where is the mistake?</h3>

Here we have the equation:

5c - 6 = 4 - 3c

And the steps to solving this are:

2c - 6 = 4

2c = 10

c = 5

We can identify that the error is in the second line. If we go to the first equation and simplify it we get:

5c - 6 = 4 - 3c

5c + 3c - 6 = 4

8c -6 = 4

8c = 10

c = 10/8 = 5/4

The error is in the second step, where you should add in both sides 3c, instead of subtracting 3 c.

The actual solution of the linear equation is c = 5/4.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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Answer:

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Step-by-step explanation:

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<em>Additional comment</em>

Map scales are often expressed using the colon for the ratio unit separator:

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5 0
3 years ago
What shape has 4 sides that are different lengths
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7 0
4 years ago
Read 2 more answers
A boat travel 312 miles each way downstream and back. The trip downstream took 13 hours. the trip back took 26 hours. What is th
zaharov [31]
Remember that Speed= \frac{distance}{time}. Since the distance of the complete trip is 312 miles, the distance of each way is \frac{312}{2} =156 miles. 
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Now, for the downstream trip the boat is traveling with the current, so:
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S_{b} +S_{c} =12 this will be our equation (1)

For the trip back the boat is traveling against the current, so:
S _{b} -S_{c} = \frac{156}{26}
S_{b} -S_{c} =6 this will be our equation (2)
 
Next, lets add equation (1) and equation (2) to get rid of S _{c}:
\left \{ {{S_{b}+S_{c}  =12} \atop {+(S_{b}-S_{c}  =6})} \right.
2S_{b} =18
S _{b} = \frac{18}{2}
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Finally, now that we know the speed of the boat in still water, lets replace that value in our equation (1) to find the speed of the current:
9+S_{c} =12
S_{c} =12-9
S_{c} =3

We can conclude that the speed of the boath in still water is 9\frac{mi}{h}, and the current of the stream is 3\frac{mi}{h}.


7 0
4 years ago
the area of a rectangle is 4,320 ft2. the ratio of the length to the width is 6:5. find the length of the rectangle. a. 12 ft b.
xeze [42]
Let the length of the rectangle = 6x and the width = 5x
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6 0
3 years ago
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