Answer:
The solution would be (5, -2)
Step-by-step explanation:
To use this method, start by multiplying the second equation by -1. Then add the two equations together.
9x + 5y = 35
-2x - 5y = 0
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7x = 35
x = 5
Now that we have the value of x, use it to solve either equation for y.
2x + 5y = 0
2(5) + 5y = 0
10 + 5y = 0
5y = -10
y = -2
Answer:
y = (x - 4)² - 25
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
y = (x + 1)(x - 9) ← expand factors using FOIL, thus
y = x² - 8x - 9
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 - 9
= (x - 4)² - 25 ← in vertex form
