1) To get equation B from equation A, we will add a quantity to the left hand side of equation A. The correct option is A. Add/subtract a quantity to/from only one side
2) The equations are not equivalent. They do not have the same solution
<h3>Equations</h3>
From the question, we are to determine how we can get equation B from equation A
From the given information,
A. 5x - 2 + x = x - 4
B. 5x + x = x - 4
From above, we can observe that to get equation B from equation A, we will add 2 to the left hand side of equation A
That is
5x - 2 + 2 + x = x + 4 → 5x + x = x + 4
Hence, to get equation B from equation A, we will add a quantity to the left hand side of equation A. The correct option is A. Add/subtract a quantity to/from only one side
2) The equations are not equivalent. They do not have the same solution
Learn more on Equations here: brainly.com/question/21765596
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Answer:
The common factor is 5x.
The factored polynomial is: ![5x(7x - 2)](https://tex.z-dn.net/?f=5x%287x%20-%202%29)
Step-by-step explanation:
Factor of the numbers:
The common factor of the numbers 5, 30 and 10 is 5, as it is the greater common divisor of them, as found below:
5 - 30 - 10|5
1 - 6 - 2
Factor of the exponents:
Between
and
, the common factor is the x with the lowest exponent. So x
Common factor
Number multiplied by exponents, so 5x.
Factoring the polynomial:
![5x^2 + 30x^2 - 10x = 5x(\frac{5x^2}{5x} + \frac{30x^2}{5x} - \frac{10x}{5x}) = 5x(x + 6x - 2) = 5x(7x - 2)](https://tex.z-dn.net/?f=5x%5E2%20%2B%2030x%5E2%20-%2010x%20%3D%205x%28%5Cfrac%7B5x%5E2%7D%7B5x%7D%20%2B%20%5Cfrac%7B30x%5E2%7D%7B5x%7D%20-%20%5Cfrac%7B10x%7D%7B5x%7D%29%20%3D%205x%28x%20%2B%206x%20-%202%29%20%3D%205x%287x%20-%202%29)
The factored polynomial is: ![5x(7x - 2)](https://tex.z-dn.net/?f=5x%287x%20-%202%29)
The equation would be y = 3x-3
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