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castortr0y [4]
4 years ago
14

WWhat is the solution to the equation 1/2 X +3 equals 2/3 X plus one

Mathematics
2 answers:
RUDIKE [14]4 years ago
6 0
1/2x + 3 = 2/3x + 1....multiply everything by the common denominator of 6
3x + 18 = 4x + 6
3x - 4x = 6 - 18
-x = - 12
x = 12 <====

multiplying by the common denominator will get rid of the fractions
Vsevolod [243]4 years ago
3 0
1/2x+3=2/3x+1
Your goal is to get all the x's on one side and all the numbers on the other side initially in order to solve for x.

1/2x+3=2/3x+1
subtract 1 from both sides
1/2x+2=2/3x
now you need to find the least common multiple of both denominators and multiply that number by both the numerator and demoninator

The least common multiple of both denominators is 6.
2 goes into 6 3 times, so you have to multiply the 1/2 by 3/3.
3 goes into 6 2 times, so you have to multiply the 2/3 by 2/2.

2=4/6x - 3/6x
2=1/6x
In order to divide the 1/6 fraction, you multiply both sides by its inverse of 6/1.

2(6/1)= 1/6 * 6/1x
12=x

You can check the answer to be sure it's correct.
1/2x+3=2/3x+1
2= 4/6(12) - 3/6(12)
2=8-6
2=2

Hope this helps!!  :)
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Plz help !! Me with it
astraxan [27]

Answer:

x=31

Step-by-step explanation:

4+ sqrt (x+5) = 10

Subtract 4 from each side

4 -4+ sqrt (x+5) = 10-4

sqrt(x+5) = 6

Square each side

(sqrt(x+5))^2 = 6^2

x+5 = 36

Subtract 5 from each side

x+5-5 = 36-5

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2

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X+6y=27<br> 7x-3y=9 por metodo de igualacion
GalinKa [24]

Answer:

(3,4)

Step-by-step explanation:

The system of equations is:

x+6y=27

7x-3y=9.

I looked up "metodo de igualacion". It is basically American for doing substitution.

However, the only difference is you are asked to solve both equations for a variable.

The first equation looks easy to solve for x. So I'm going to solve both equations for x.

x+6y=27

Subtract 6y on both sides:

x     =-6y+27

7x-3y=9

Add 3y on both sides:

7x    =3y+9

Divide both sides by 7:

x     =3/7 y +9/7

So both equations are solved for x.  You want to find when the x's are the same because you are looking for a common amongst the lines given.

So we have

-6y+27=3/7 y  +9/7

I hate the fractions honestly so I'm going to multiply both sides by 7 so they will no longer be for now:

-42y+189=3y + 9

Now add 42y on both sides:

         189=45y+9

Subtract 9 on both sides:

        180=45y

Divide both sides by 45:

            4=y

If 4=y, then y=4.

So now once we have obtain 4 for y, we will use one of the equations given along with it to find x. Just choose one. Choose the easier looking one to you.

I like the x=-6y+27 with y=4.

So replace y with giving you:

x=-6(4)+27

x=-24+27

x=3

So the solution is (x,y)=(3,4).

x=3 and y=4.

8 0
3 years ago
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