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.
To get the total number of games possible, we will use the combination formula.
Total number of games :
= 45
Total of 45 games in the whole tournament.
Meanwhile, if there would be boy-versus-boy, we will have
The answer is 10.
The fraction for boy-versus-boy game will be
10/45 or 2/9 when simplified.
<h3>
Answer: 1.75 square feet</h3>
Work Shown:
area of the triangle on the left = base*height/2 = 0.75*2/2 = 0.75
area of the triangle on the right = base*height/2 = 0.5*4/2 = 1
total area = 0.75+1 = 1.75 square feet
X = 3, y = 4
or if u want coordinates: (3,4)
ok well if Jeff rode his bike on a trail that was 1/3 of a mile and he did it nine times these is what you would do-
1/3x9=3
hope this helps
