Answer:
1. x = 2
2. x = -2
3 x = 1
Step-by-step explanation:
Make x the subjects and work from there
First find the x and y values because where the lines will intersect, they share the point of the intersection so they will share the x and y coordinates.
Rearrange equations


To cancel y, we must do equation 1 minus equation 2. Similarly:




So the x coordinate is 3.
The y coordinate can be found with substitution of x into one of the equations:

So where the two lines intersect is at the point (3, 7), which is the solution to the equations.
There are 120 ways in which 5 riders and 5 horses can be arranged.
We have,
5 riders and 5 horses,
Now,
We know that,
Now,
Using the arrangement formula of Permutation,
i.e.
The total number of ways
,
So,
For n = 5,
And,
r = 5
As we have,
n = r,
So,
Now,
Using the above-mentioned formula of arrangement,
i.e.
The total number of ways
,
Now,
Substituting values,
We get,

We get,
The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,
So,
There are 120 ways to arrange horses for riders.
Hence we can say that there are 120 ways in which 5 riders and 5 horses can be arranged.
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