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System AAA \text{\quad}start text, end text System BBB
\begin{cases}x-4y=1\\\\5x+6y=-5\end{cases}
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x−4y=1
5x+6y=−5
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\begin{cases}x=1+4y\\\\5x+6y=-5\end{cases}
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x=1+4y
5x+6y=−5
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1) How can we get System BBB from System AAA?
Choose 1 answer:
A
Replace one equation with itself where a quantity is added to only one side

(Choice B)
B
Replace one equation with itself where the same quantity is added to both sides

(Choice C)
C
Swap only the right-hand sides of both equations

(Choice D)
D
Swap the order of the equations
2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Respuesta :

Answer:

replace one question with itself where the same quantity is added to both sides and yes

Step-by-step explanation:

The other answer is wrong :)

MrRoyal

The true statements are:

  • B. Replace one equation with itself where the same quantity is added to both sides
  • A. Yes

The systems of equations are:

System A

[tex]\mathbf{x - 4y = 1}[/tex]

[tex]\mathbf{5x + 6y = -5}[/tex]

System B

[tex]\mathbf{x = 1 + 4y}[/tex]

[tex]\mathbf{5x + 6y =-5}[/tex]

In system A, we have:

[tex]\mathbf{x - 4y = 1}[/tex]

Add 4y to both sides

[tex]\mathbf{x - 4y + 4y = 1 + 4y}[/tex]

[tex]\mathbf{x = 1 + 4y}[/tex]

This means that system B is gotten from system A by adding 4 to both sides of the equation.

The second equations of both systems are the same

Hence, the true statement is (c)

Are the systems equivalent?

Yes, they are

Because they both represent the same solution

Read more about systems of equations at:

https://brainly.com/question/13997560

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