Here is a system of equations: y = 2xy = −12x + 5 determine whether (2,4) is a solution to this system. use algebra to show whether (2,4) is or is not a solution to the system. show all work and explain each step.

The point (2,4) is not a solution for the given system of equations.

Step-by-step explanation:

In order to check if point (2,4) is a solution of the given system of equations, we will solve the given system algebraically to find the solutions.

Solving the system by substitution.

Equation 1:

Equation 2:

Substituting equation 1 in equation 2 to solve for .

Adding both sides.

Dividing both sides by 14.

To check the point (2,4) for the solution.

Since the for the solution is , we can say that (2,4) is not a solution to the given system of equations.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.