2x+4y=24 -12x+8y=-16

1 answer:

3 0

Dividing the first equation by 2
X + 2y = 12
Dividing the equation 2 by 4
-3x + 2y = -4
subtracting both equations
4x = 16
X = 4
Also 4 + 2y = 12
2y = 8
Y = 4
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a_sh-v [17]

We have that
$y=- x^{2} +36$

we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum

step 1
convert the equation of the parabola in the vertex form
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the points are (-6,0) and (6,0)

see the attached figure