SOLUTION: Please can you help me find x -7x + 8y + 3y = 10 28x/4 - 12y = 7

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Question 50805: Please can you help me find x
-7x + 8y + 3y = 10
28x/4 - 12y = 7
Found 2 solutions by darq, AnlytcPhil:
Answer by darq(90)   (Show Source): You can put this solution on YOUR website!
-7x + 8y + 3y = 10
28x/4 - 12y = 7
-7x + 11y = 10
7x - 12 y = 7
then all you need to do is adding the equations

(-7x + 11y) + (7x - 12y) = 10 + 7
=) -7x + 11y + 7x - 12y = 17
now you need to find the sum of x's and y's
=) 7x-7x + 11y-12y = 17
=) 0 + -y = 17
so you got rid of x. now you need to multiply both sides with negative one.
=) y = -17
so we found the y. now all you need to do is to substitute it with one of the equations you gave. i chose "28x/4 - 12y = 7"
7x - 12(-17) = 7
7x + 204 = 7
now we need to have x in one side and the number in the other side
7x = 7-204
7x = -197
you need to divide both sides wth "7"
______
x = -28,142857
if you want to show the x as a fraction it is -2
so that is it!
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
Please can you help me find x

-7x + 8y + 3y = 10
28x/4 - 12y   = 7

In the first equation, combine like 
terms 8y + 3y as 11y

-7x + 11y = 10

In the second equation, in the term
28x/4 the 4 can be
canceled into the 28 like this

 7
28x/4
    1

to give 7x - 12y = 7

So we now have this system of equations

-7x + 11y = 10
 7x - 12y =  7

Now if we add these equations term-by-term
vertically, the x's will cancel:

-7x + 11y = 10
 7x - 12y =  7
--------------
       -y = 17

Divide both sides by -1

        y = -17

Substitute -17 for y in

     7x - 12y =  7
 7x - 12(-17) = 7 

     7x + 204 = 7
           7x = -197
            x = -197/7

Edwin
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