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zvonat [6]
3 years ago
7

Solve for x 7x-4+4y+8=24+31

Mathematics
1 answer:
Anastasy [175]3 years ago
4 0

Answer:

x = -4y/7 + 51/7

Step-by-step explanation:

First, you add all the numbers without variables and are on the same side.

7x - 4 + 4y + 8 = 55

Then you do the opposite sign (for example the opposite of addition is subtraction) of the two numbers without variables on the left side to add them to the right side(what you do on one side of the equation you must do on the other.

4x - 4 + 4 + 4y + 8 - 8 = 55 + 4 - 8

4x + 4y = 51

Then you get the x by itself by doing the same thing you did with the last step by this time with 4y.  Because this has a variable, you don't add it onto the 51, but add as a different number.

4x + 4y - 4y = 51 - 4y

4x = -4y + 51

Now to isolate the x, you divide 4x by 4.

4x/4 = -4y/7 + 51/7

x = -4y/7 + 51/7

Your answer is x = -4y/7 + 51/7

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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

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  • 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 .

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

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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

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