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X+y=5 x²+y=11 What are the coordinates of the other centroid?

User Makeworld
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1 Answer

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Final answer:

To find the coordinates of the other centroid, solve the system of equations x + y = 5 and x² + y = 11 by substitution. So the coordinates of the other centroid are (3, 2) and (-2, 7).

Step-by-step explanation:

To find the coordinates of the other centroid, we need to solve the system of equations:

x + y = 5

x² + y = 11

One way to solve this system is by substitution. Rearrange the first equation to solve for x:

x = 5 - y

Substitute this expression for x in the second equation:

(5 - y)² + y = 11

Expand and simplify:

y² - 10y + 14 = 0

Factor the quadratic:

(y - 2)(y - 7) = 0

Solve for y:

y = 2 or y = 7

Substitute these values of y back into the first equation to find the corresponding values of x:

When y = 2, x = 5 - 2 = 3

When y = 7, x = 5 - 7 = -2

So the coordinates of the other centroid are (3, 2) and (-2, 7).

User Alberto Alvarez
by
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