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2 answers:
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Given:
The system of equations:
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
Here, x is eliminated.
Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.
Answer:
Step-by-step explanation:
Given
Required
Find Y
To do this, we make use of the mid-point formula
i.e.
WX and ZY are the diagonals of the parallelogram.
The mid-point of WX is:
The mid-point of ZY is:
Equate both values of M
Multiply both sides by 2
By comparison:
Hence: