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son4ous [18]
2 years ago
8

1. Consider the following system of linear equations.

Mathematics
1 answer:
timurjin [86]2 years ago
4 0

Using the multiplication property, we have the following equivalent system of linear equations:

  • 4/9x + 4/3y = 20/12  
  • 2/3x - 4/3y = 5/3

<h3>What is an Equivalent System of Linear Equations?</h3>
  • Systems that are equivalent will have the same solution.
  • Creating equivalent system helps us to find the variables in a system of equations.

Given:

1/3x + y = 5/4 ---> Equation 1

2/3x - 4/3y = 5/3 ---> Equation 2

To create an equivalent system, multiply equation 1 by 4/3, and multiply equation 2 by 1.

Thus, using the multiplication property, we have the following equivalent system of linear equations:

  • 4/9x + 4/3y = 20/12  
  • 2/3x - 4/3y = 5/3

Learn more about equivalent system of linear equations on:

brainly.com/question/1869465

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<img src="https://tex.z-dn.net/?f=32.5%20%3D%2030%20%2B%20%20%5Cfrac%7B20%20-%20%2840%20%2B%20x%29%7D%7B12%7D%20%20%5Ctimes%2010
erastova [34]

Answer:

x =  - 23

Step-by-step explanation:

\frac{20 - (40 + x)}{12}  \times 10 = 32.5 - 30 = 2.5

=  >  \frac{20 - (40 + x)}{12}  = 0.25

=  >  \frac{20 - (40 + x)}{12}  =  \frac{1}{4}

=  > 20 - (40 + x) =  \frac{12}{4}  = 3

=  > 40 + x = 20 - 3 = 17

=  > x = 17 - 40 =  - 23

7 0
3 years ago
What is the domain range and zeros of the graph ?
marusya05 [52]

The domain is how far the graph stretches horizontally (on the x-axis).

Domain:  ( -∞ , ∞ )  or  -∞ < x < ∞

The range is how long the graph stretched vertically (on the y-axis).

Range:  ( -∞ , 2 ]  or  -∞ < y ≤ 2

The zeros are where the graph intersects with the x-axis. In other words, the x-values when y=0.

Zeros:  x = -1  and  x = 3

8 0
3 years ago
Help me please ASAP<br><br>- do not put any fake answers.... ty:)))<br><br>​
BartSMP [9]
The answer is 4 and 3. 4 for the x axis and 3 for the y axis
8 0
3 years ago
In the following scenario for a hypothesis test for a population? mean, decide whether the? z-test is an appropriate method for
Alik [6]
D

This is the right answer
4 0
3 years ago
Is x = -12 a solution of x^2 +10x+25=49?
Tresset [83]

Answer:

Yes

Step-by-step explanation:

{x}^{2}  + 10x + 25 = 49 \\  {x}^{2}  + 10x + 25 - 49 = 0 \\  {x}^{2}  + 10x - 24 = 0 \\ (x + 12)(x -2 ) = 0 \\  \\ x  + 12 = 0 \\ x =  - 12 \\  \\  \\ x  - 2 = 0 \\x = 2

I hope I helped you^_^

8 0
3 years ago
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