The first step is to name the equations to make the process of solving them easy.
The second step is to multiply each of the equations by the coefficient of the x term in the other equation. In this case, we will multiply equation (1) by 5 to get equation (3) and then multiply equation (2) by 6 to get equation (4).
The next step is to add equation equation(3) and (4) together to get equation (5) as shown below;
The next step is to take the value of y and substitute it into any of the equations above. For this solution, I pick equation (1). The work done to solve for x is shown below.;
The solution for this system of equations is
The mean of a dataset is the sum of all data elements divided by the count of the elements.
The location of the 6th score relative to the mean is 5 points below the mean
Let:
<em> Mean</em>
<em> 5 scores</em>
<em> 6th scores</em>
Given that:
The 5 scores that are 1 above the mean implies that:
The mean of a dataset is calculated using:
So, we have:
Open brackets
Multiply both sides by 6
Make b the subject
This means that the 6th score is 5 points below the mean
Read more about mean at: