Write whether the following pair of linear
equations is consistent or not: x+y=14 & X-y=4

The linear equation is consistent

Step-by-step explanation:

X+y=14(1)

X-y=4(2)

Add (1) and (2)

2x=28

Divide both sides by 2

x=14

Substitute the value for x into (1)

14+y=14

Substrate 14 from both sides

y=0

So the linear equation is consistent

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