Determine if (−3, −26) and (3, 10) are solutions to the system of equations:

6x + y = 8,
x2 − 5 = 4

The given points are not solutions to the given system of equations.

Step-by-step explanation:

Step 1:

To find if the points are solutions to the given system of equation, we can substitute the points in the equation and see if they satisfy the conditions. The points should satisfy both the equations.

Step 2 :

Consider the point (−3, −26).

substituting in equation 1 we have  

6*(-3) + (-26) =  -44 . This does not satisfy the given equation

Substituting in equation 2 we have,

(-3)(-3) -5 = 4. This satisfies the equation 2.

But this is not a solution to the given system of equations because it does not satisfy equation 1.

Step 3 :

Consider the point (3,10).

substituting in equation 1 we have  

6*(3) + 10 =  28 . This does not satisfy the given equation

Substituting in equation 2 we have,

(3)(3) -5 = 4. This satisfies the equation 2.

But this is not a solution to the given system of equations because it does not satisfy equation 1.

Hence the given points are not the solutions.

step-by-step explanation:

in which figure is point g a centroid

16

step-by-step explanation: