Given:
The system of equations:
![x-3y=9](https://tex.z-dn.net/?f=x-3y%3D9)
![\dfrac{1}{5}x-2y=-1](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B5%7Dx-2y%3D-1)
To find:
The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.
Solution:
We have,
...(i)
...(ii)
The coefficient of x in (i) and (ii) are 1 and
respectively.
To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.
It means, we have to convert
into -1. It is possible if we multiply the equation (ii) by -5.
On multiplying equation (ii) by -5, we get
...(iii)
On adding (i) and (iii), we get
![7y=14](https://tex.z-dn.net/?f=7y%3D14)
Here, x is eliminated.
Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.
Answer:
They are NOT equivalent
Step-by-step explanation:
4x-x+5 and 8-3x-3
<u>simplify</u>
3x+5 and 5x-3
Answer:
15.6
Step-by-step explanation:
because 6×2.60
Answer:
oooooooooooooooooooooooooooooooooooooooooooh
Step-by-step explanation:
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Answer:
b. There's no statistically significant linear relationship between the number of miles driven and the maintenance cost
Step-by-step explanation:
The p-value for the slope estimate show us how strong is the certainty that there are a linear relationship between both variables. In this case, the p-value for the slopes shows if there is a significant relationship between the number of miles driven and the maintenance cost.
If we have a high p-value like 0.7 we can said that there is no certainty in the linear relationship. it means that there's no statistically significant linear relationship between the number of miles driven and the maintenance cost.