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BARSIC [14]
3 years ago
10

Describe how to solve any equation in the form ax + b = c for the variable x. ​

Mathematics
2 answers:
IRINA_888 [86]3 years ago
3 0

Subtract b from both sides: ax=c-b

Divide both sides by a: x=(c-b)/a

Hope this helped

USPshnik [31]3 years ago
3 0

Explanation:

To solve any equation that is linear in the variable of interest, you first look at what is done to the variable, using the Order of Operations as your guide.

Here, the variable is ...

  • multiplied by "a"
  • the product has "b" added to it.

You find the value of the variable by reversing these steps, starting from the last one on the list and working up the list.

To "undo" the addition of "b", we add its opposite (-b) to the equation. The rules of equality tell you that anything you do to one side of the equation must also be done to the other side, so we add -b to both sides:

  ax +b -b = c -b

  ax = c -b . . . . . . . . simplify

To "undo" the multiplication by "a", we multiply by its reciprocal. That is, we multiply by 1/a, or, equivalently, divide by "a". Again, we must do this to both sides of the equation:

  (1/a)ax = (1/a)(c -b)

  x = (c -b)/a . . . . . . . simplify

__

In short, we subtract the added constant (b) and divide by the multiplier (a).

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an 18-foot wire is to be cut so that the longer piece is 5 times longer than the shorter piece. find the length of each peice
gtnhenbr [62]

Answer:

The longer piece is 15 feet long and the shorter piece is 3 feet long.

Step-by-step explanation:

Create a system of equations where x is the length of the longer piece and y is the length of the shorter piece:

x + y = 18

x = 5y

Solve by substitution by substituting 5y as x into the first equation:

x + y = 18

5y + y = 18

Solve for y:

6y = 18

y = 3

So, the shorter piece is 3 feet long. Since the longer piece is 5 times longer, find its length by multiplying this by 5:

3(5)

= 15

So, the longer piece is 15 feet long.

The longer piece is 15 feet long and the shorter piece is 3 feet long.

7 0
3 years ago
H/6 -1 = -3 Please help guys!
Gennadij [26K]

Answer:

h=-12

Step-by-step explanation:

h/6-1=-3

add 0ne to -3 since it's the opposite of -1

h/6=-2

multiply by 6/1 since it's the opposite of 1/6

h=-12

4 0
3 years ago
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The price of a house is originally listed at $135,000. The owners are having a hard time selling it and decide to reduce the pri
tatyana61 [14]
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7 0
3 years ago
A Florida neighborhood is comprised of a total of 250 houses of which 12% are in foreclosure. A random sample of 91 homes from t
natka813 [3]

Answer:

the standard error of the proportion is 0.0272

Step-by-step explanation:

We have that if the sample size is greater than 5% of the entire population, a finite population correction factor (fpc) is multiplied with the standard error :

fpc = \sqrt{\frac{N -n}{N -1} }

We know that N = 250 n = 91, replacing:

fpc = \sqrt{\frac{250 - 91}{250 -1} }

fpc = 0.799

Now, the formula would then be:

SE  = \sqrt{\frac{p * (1 -p)}{n} }*fpc

Now replacing, knowing that p = 0.12

SE= \sqrt{\frac{0.12 * (1 - 0.12)}{91} }*0.799

SE = 0.0272

So the standard error of the proportion is 0.0272

6 0
3 years ago
Find for x , please its a emergency!!!
Igoryamba

Answer:

45

Step-by-step explanation:

the left and right side are symetrical

7 0
2 years ago
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