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Mamont248 [21]
4 years ago
7

Slove for x

D%204%20-%20%20%5Cfrac%7B2x%20-%201%7D%7B5%7D%20" id="TexFormula1" title=" \frac{x + 1}{2} + \frac{x}{3} = 4 - \frac{2x - 1}{5} " alt=" \frac{x + 1}{2} + \frac{x}{3} = 4 - \frac{2x - 1}{5} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
den301095 [7]4 years ago
5 0

15(x + 1) + 10(x) = 30(4) - 6( 2x - 1)   <em>multiplied by 30 to clear the denominator</em>

15x + 15 + 10x = 120 -12x + 6           <em>distributed</em>

25x + 15 = 126 - 12x                        <em>added like terms</em>

37x + 15 = 126                                 <em>added 12x to both sides</em>

37x = 111                                          <em>subtracted 15 from both sides</em>

   x = 3                                            <em>divided both sides by 37</em>

         

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Answer:

Step-by-step explanation:

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tigry1 [53]

The system of the equation doesn't give the solution at (-3, -6).

<h2>Given to us</h2>
  • -4x+y = 6
  • 5x-y =21

<h3>Equation 1,</h3>

-4x+y = 6

solve for y

-4x+y =6\\y= 6+4x

<h3>Equation 2,</h3>

5x-y =21

substitute the value of y in equation 2,

5x-(6+4x) =21\\5x -6 -4x =21\\5x -4x=21+6\\x = 27

Substitute the value of x in equation 2,

5x-y =21\\5(27)-y =21\\135-y = 21\\-y=21-135\\-y = -114\\y=114

We can see that the solution of the two equations is at (27, 114). Also, it can be verified by plotting the line on the graph.

Hence, the system of the equation doesn't give the solution at (-3, -6).

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6 0
3 years ago
Pls help me this is due tomorrow
Anna [14]

Step-by-step explanation:

Claim: There's 14 Goats and 9 Chickens!!

Data:

Working with the Provided Information.

Let the Number of goats be x

let the Number of Chickens be y

x + y = 23..... (i)

Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.

The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y

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BRINGING BOTH EQUATIONS TOGETHER.

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From Eqn i

x= 23 - y

Substitute into eqn ii

4(23 - y ) + 2y = 74

92 - 4y + 2y = 74

92 - 2y = 74

2y = 92 - 74

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y= 9.

Substitute y into any of the eqns to get x

x + y = 23

x + 9=23

x = 23 - 9

x = 14

This simply proves that there are 14 Goats and 9 Chickens!!!.

HAVE A GREAT DAY!

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