For this case, what we are going to do is use the following property:
Multiply an equation by a scalar.
In this case, the scalar will be:
k = -2
We have then that equation 2 will be:
k * (4x + y) = k * 1
-2 * (4x + y) = - 2 * 1
-8x-2y = -2
Answer:
The property that justifies this manipulation is:
Multiply an equation by a scalar.
You need an equation system.
First, translate the text into equations :
y = total price for the bike
x = number of months
first bike :
y = 25x + 500
second bike :
y = 50x + 200
Then you have to solve the system by placing the two equations side by side and comparing them.
25x + 500 = 50x + 200
Solve to find the value of x
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The linear equation that represent the situation is 3b - 6 = 45.
The value of b is 17.
<h3>How to represent a linear equation?</h3>
The situation forms a linear equation. Therefore,
y = mx + b
where
Therefore, let's model the equation linearly,
where
- b = number of books bought
She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.
Therefore, the equation is as follows
3b - 6 = 45
The value of b is as follows;
3b - 6 = 45
3b = 45 + 6
3b = 51
b = 51 / 3
b = 17
learn more on linear equation here: brainly.com/question/11897796
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Answer:
they are parallel
Step-by-step explanation:
they have the same slope
