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ehidna [41]
2 years ago
13

Create two different equations that have infinite solutions to the equations .

Mathematics
1 answer:
Paul [167]2 years ago
6 0

Answer:

1. x = y - 2

2. 2y = 2x

Step-by-step explanation:

1. Any number can fit x and y so long as x is 2 lesser than y and y is 2 more than x.

2. x and y can be any number so long as they are the same number.

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Abby filled her goodie bags with 4 cookies and 3 candy bars and spent a total of $10.25 per bag. Marissa filled her goodie bags
Paladinen [302]
Let's start by writing a system of linear equations:
c -> cookies 
cb -> candy bars
(You can use any abbreviations to your preference)

Abby:
4 cookies 
3 candy bars
$10.25 per bag
The equation would be:
4c+ 3cb = $10.25

Marissa:
2 cookies
7 candy bars
$14.75 per bag
The equation would be:
2c + 7cb = $14.75

So our linear equation system would be:
<span>4c+ 3cb = $10.25
</span><span>2c + 7cb = $14.75

I would try to get rid of one variable so I can solve for the other variable. In this case, it is easier to get rid of c since I can multiply the second equations by 2. Then it would subtract the two equations.

(2c + 7cb = $14.75) 2 = 4c + 14 cb = $29.50

      4c + 3cb = $10.25
   -  4c+14 cb = $29.50                    (4c would get canceled.)
---------------------------------
             -11 cb = - $19.25                (Divide by -11 to solve for cb)
</span>             ---------   -------------
              -11           -11
            
             cb = $1.75

Now we know cb (candy bar) cost, we would substitute this value into cb into one of the equations. It doesn't matter which equation you put it in. I will substitute it in the first equations. 

  4c + 3 (1.75) = $10.25
  4c + 5.25 = $10.25                       (Multiply 3 by 1.75)
       -5.25       -5.25                         (Subtract 5.25 on both sides)
             4c = 5                                 (Divide by 4 on both sides to get c)
             ----   ---
              4      4
         
         c= 1.25

Check the work:
4(1.25) + 3(1.75) 
  = $10.25

2(1.25) + 7(1.75)
   = $14.75

Total cost:
cookies = $1.25
candy bars = $ 1.75

Hope this helps! :)

6 0
3 years ago
Malia runs 5 miles in 1 hour. How many miles does she run in half an hour? In 2 1/2 hours?
Olegator [25]
1/2 hr* (5 miles/ 1 hr)= 2.5 miles.

2 1/2 hrs* (5 miles/ 1 hr)= 12.5 miles.

Malia runs 2.5 miles and 12.5 miles in 1/2 hr and 2 1/2 hrs respectively.

Hope this helps~
8 0
2 years ago
I need help with number 4
Ray Of Light [21]
You will divide the 12 by 28: 12/28 and that equals 3/7
6 0
3 years ago
Read 2 more answers
Does anyone wanna be friends lol?
USPshnik [31]

Answer:

hahaha me

Step-by-step explanation:

...actually how old are you though lol

7 0
3 years ago
Read 2 more answers
PLEASE HELP DUE SOON
Mazyrski [523]

Answer:

A

Step-by-step explanation:

The lines cross or touch the X-Axis 4 times which means that there are 4 solutions.

7 0
3 years ago
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