Solve this systems of linear equations.separate the x- and y-values with a comma 2x+3y=-6 6x-4y=-44
1 answer:
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There are two ways to do this but the way I prefer is to make one of the equations in terms of one variable and then 'plug this in' to the second equation. I will demonstrate
Look at equation 1,
this can quite easily be manipulated to show 
.
Then because there is a y in the second equation (and both equations are simultaneous) we can 'plug in' our new equation where y is in the second one
which can then be solved for x since there is only one variable 
and then with our x solution we can work out our y solution by using the equation we manipulated 
.
So the solution to these equations is x=-2 when y=6
Look at equation 1,
Then because there is a y in the second equation (and both equations are simultaneous) we can 'plug in' our new equation where y is in the second one
So the solution to these equations is x=-2 when y=6
Answer:
a. MSE = 64.8
b. Forecast for month 8 is 14.
Step-by-step explanation:
where
Using the most recent value as the forecast for the next period, we have forecasts for the months as;
(1,-) , (2,25) , (3,13) , (4,21) , (5,13) , (6,20) , (7,22)
= (-, -12, 8, -8, 7, 2, -8, -)
= (-, 144, 64, 64, 49, 4, 64, -)
Therefore, MSE = 64.8 (1 decimal place).
The Forecast for month 8 is 14 since we are using the most recent value as the forecast for the next period.