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Nostrana [21]
3 years ago
7

Using the equation below as a model, fill in numbers in the place of a and b to create a rational equation that has an extraneou

s solution.
x plus a over ax = b over x

Part 1. Show all work to solve for x in the equation and check the solution.

Part 2. Explain how to identify the extraneous solution and what it means.
Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0
Lets solve the equation step by step:

(x + a)/ax = b/x

therefore: a != 0, x !=0

now we solve:

<span>(x + a)/ax = b/x
</span><span>(x + a)/a = b
</span>x + a = ab
x = a(b - 1)

that is the solution for b, and we keep in mind that <span>a != 0, x !=0, the extraneous solutions
</span>
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Check that x=2 and y=5 is a solution of both equations below:<br> X+2y=12<br> 3x+6y=36 *
melamori03 [73]

Answer:

yes

Step-by-step explanation:

Substitute x = 2 and y = 5 into the left side of the equations and if equal to the right side then they are a solution.

x + 2y = 2 + 2(5) = 2 + 10 = 12 ← True

3x + 6y = 3(2) + 6(5) = 6 + 30 = 36 ← True

Thus x = 2, y = 5 is a solution to both equations

7 0
3 years ago
Read 2 more answers
The Baldwin family walked of a mile in of an hour. What is their unit rate in miles per hour? (5 points)
Lisa [10]
So walked 4/5 mile in a 4/9 h  so just use the rule of 3 simple 

60 minutes ------ 1 hour
x min. ----------- 4/9 h
--------------------------------
x = 4/9 *60/1 = 240/9 =  26,6 min. 

4/5 mile -------in 26,6 min.
1 mile --------   x min.
-----------------------------
x = 1*26,6/(4/5) = 26,6 /(0,8) = 33,25 min. 

1 mile ..... 33,25 min.
x miles ----- 60 min.
---------------------------
 x = 60/33,25 = 1,8 miles 

so their unit rate in miles per hour will be 1,8 miles / hour 

hope this will help you.
3 0
3 years ago
Solve the equation 8x-4=x+10
ahrayia [7]

Answer:

8x-4=x+10

8x-x = 10+4

7x = 14

x= 14/7

x= 2

<h2>HOPE IT HELPED U ...</h2>
8 0
3 years ago
Read 2 more answers
4) Choose the correct inequality for this situation.
Ksenya-84 [330]

Answer:

B. 21x + 40 ≤ 124

Step-by-step Explanation:

Maximum amount budgeted = $124 (this means they can't spend more than this)

x = number of people

Cost per head = $21

Given that Mr Walter already spent $40, which is part of the money budgeted, the number of people that can go canoeing cam be expressed with the following inequality:

21x + 40 ≤ 124

(note: the amount total to be spent will either be equal to or greater than $124, because it's the maximum amount budgeted for spending).

6 0
3 years ago
Solve these equations. Thanks.
Nutka1998 [239]

Answer:

1. 3.572 x 10^(-1)

2. 3.108 x 10^(6)

3. 5.31881533 x 10^(-6)

4. 4.18676122 x 10^(-1)

Hope this helps

8 0
2 years ago
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