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Alenkasestr [34]
3 years ago
15

Determine the number of solutions for the system of equations y=2/3x+4 and y=2/3-x2

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

2/3x+4=2/3-2x

2/3x-(-2x)

2/3x+2x

2 2/3x+4=2/3

2/3-4=-3 1/3

2 2/3x=-3 1/3

(3 1/3)/(2 2/3)=1 1/4

x = 1 1/4

y=2/3-2x

y=2/3-2(2/3)

y=2/3-4/3

y=-2/3

The answer is (1 1/4, -2/3)

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Step-by-step explanation:

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3 years ago
There are 33 of them altogether and pay £311 in total. How many kids are in the family? Adults pay £15 and kids pay £7
Marrrta [24]

Answer:

Step-by-step explanation

  1. Let x be the number of adults and y the number of kids

We can then write this two equations :

          x+y= 33

          15x+7y= 311

  • let's solve the two eaquations

to do that we should combine them both in a way that help us get rid of one of the variables.

             Let's multiply the first equation by -7 to get rid of y by adding it to thr second equation

             -7x-7y= -231

        now add both equations .

              15x+7y-7x-7y=311-231

    we get :  8x = 80

as you notice y is gone and we get a classic easy equation to solve

                x= 80/8

                   = 10

so the number of adults is 10

let's go back to the first equation ( x+y= 33) and replace x with 10

                10+y= 33

                  y= 33-10

                     =23

let's check using the second equation :

            (10*15)+(23*7) = 311

that is true

so :

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4 0
4 years ago
I need 2-4 please &amp; show step by step explanation ( show the work ) please!
Likurg_2 [28]

Answer:

i don't know go on your browser

Step-by-step explanation:

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3 years ago
Alex buys 24 apples from the supermarket. When he gets home, he finds that 6 apples are bad. What percentage of the apples are b
umka21 [38]

Answer:

25%

Step-by-step explanation:

Since there are 24 apples, and 6 are bad, to find the percentage of the bad apples, you do bad apples/total apples

6/24=.25

0.25 is 25%

8 0
3 years ago
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