Start by writing the system down, I will use to represent
Substitute the fact that into the first equation to get,
Simplify into a quadratic form (),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be .
Clearly for small coefficients like ours , this is very easy to figure out. To get 5 and 6 we simply say that .
This fits the definition as and .
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form .
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are and .
Hope this helps :)
Answer:
400 students
Step-by-step explanation:
So 15 percent is 60 students
make an equation
0.15x=60
X stands for the total amount fo students and multiply that 0.15 becuase we know ti equals 60 and finding X will solve both problems
that’ll give you 400 students
if you check
400*0.15=60
So its correct
Yes, i have to make this answer longer so this is- you know.