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mr_godi [17]
3 years ago
14

Y=-6x + 5 x - y = 5

Mathematics
2 answers:
puteri [66]3 years ago
7 0

Step-by-step explanation:

1. make y=-6x+5 equation 1 and make x-y=5 equation 2

2.subtitute equation 1 into equation 2:

x-(-6x+5)=5

3.multiply - into the bracket:

x+6x-5=5

4.transpose -5 to the other side:

x+6x=5+5

x+6x=10

5.Add the like terms which are x and 6x:

7x=10

6.divide both sides by 7:

7x/7=10/7

x=10/7

8.subtitute your answer back to your second equation:

(10/7)-y=5

-y=5-10/7

-y=25/7

9.divide both sides by -

y=-25/7

rodikova [14]3 years ago
4 0

Answer:

y = \frac{-25}{7} or -3.571

x = \frac{10}{7} or 1.429

Step-by-step explanation:

x - y = 5

x = 5 + y

Solve for y:

y =  -6x + 5

y =  -6(5 + y) + 5  Substitute x with 5 + y

y = -6(5) - 6y + 5

y = -30 - 6y + 5

y + 6y = -30 + 5

7y = -25

y = \frac{-25}{7} or -3.571

Solve for x:

x = 5 + y

x = 5 + -25/7

x = \frac{10}{7} or 1.429

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Okay so I did the math. 

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</span></span><span>Step  1  :</span>Rearrange this Absolute Value Equation

Absolute value equalitiy entered
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<span>Step  2  :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |2z-3|

 </span>For the Negative case we'll use -(2z-3) 

For the Positive case we'll use (2z-3) 

<span>Step  3  :</span>Solve the Negative Case

      -(2z-3) = 4z-1 

     Multiply
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     Rearrange and Add up
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     Divide both sides by 6 
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<span>Step  4  :</span>Solve the Positive Case

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     Rearrange and Add up
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Step  5  :Wrap up the solution

<span> z=2/3
</span><span> z=-1

2. </span>-6 < x < 26/3

<span>Step  1  :</span>Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
      |3x-4|+5 < 27 

Another term is moved / added to the right hand side.

      |3x-4| < 22 

<span>Step  2  :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |3x-4|

 </span>For the Negative case we'll use -(3x-4) 

For the Positive case we'll use (3x-4) 

<span>Step  3  :</span>Solve the Negative Case

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     Rearrange and Add up
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<span>Step  4  :</span>Solve the Positive Case

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<span>Step  5  :</span>Wrap up the solution

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Solution in Interval Notation

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HOPE THIS HELPS :D
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