Answer: A) 3(10 - 5y) + 6y =12
Step-by-step explanation:
As per the question , the given system of linear equation :

Here , To solve the system of equations using substitution , Johanna isolates x in the second equation and writes

As per the substitution method , the next step is to substitute the isolated value of 'x' in first equation , thus the next step will become

Hence, the correct option is A) 3(10 - 5y) + 6y =12
Solution set is: (
)
Option B is correct
Step-by-step explanation:
We need to find the solution to system of equations

Let:

Putting value of y from eq(2) into eq(1)

So, value of x=7
Putting value of x into equation 1 to find the value of y:

So, value of y = 
Solution set is: (
)
Option B is correct
Keywords: System of equations
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Given the polynomial expression:
(y + 5)²
(y - 5)(y + 5)
Let's simplify each of the given expression:
a.) (y + 5)²
The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.

We get,


b.) (y - 5)(y + 5)
To be able to simplify the following expression. We will be using the formula for the difference of two squares.

We get,
