Find the solution of the system of equations. 8x-3y=2 -8x-5y=46
2 answers:
Answer:
(x, y) = (-2, -6)
Step-by-step explanation:
The coefficients of x are opposites, so the variable x can be eliminated by adding the equations together:
(8x -3y) +(-8x -5y) = (2) +(48)
-8y = 48 . . . . . simplify
y = -6 . . . . . . . divide by -8
Use this value in either equation to find x.
8x -3(-6) = 2
8x = -16 . . . . . . subtract 18
x = -2 . . . . . . . divide by 8
The solution to the system of equations is (x, y) = (-2, -6).
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Now,
it's vertex is given, I.e (7 , -5)
so, length of semi transverse axis will be equal to distance of vertex from centre, i.e
- a = 7 - 3 = 4 units
Now, it's focus can be represented as ;
so,
- ae + 3 = 9
and we know, a = 4
Now, let's find the measure of semi - conjugate axis (b)
So, it's time to write the equation of hyperbola, as we already have the values of a and b ~
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