What is the solution to this system of equations?

18x - y = - 42

y= (-43x+34)/20

X=-2

Step-by-step explanation:

equation a)

-y=42+18x

equation b)

y= (-43x+34)/20

Solution

42+18x= (-43x+34)/20

20(42+18x)=-43x+34

840+360x = -43x+34

360x+43x=34-840

403x= -806

x= -(806/403)

x= -(2)

x= -2

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this