here is a system of equations y= 2x y= -1/2x + 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.

(2,4) is a solution to this system of equations

Step-by-step explanation:

Given system of equation are

To find the solution of the given system of equations

To Check that (2,4) is a solution to this system or not

Solving equations (1) and (2)

From equation (1) and y=2x

Now substitute y=2x is equation (2)

10-5x=0

-5x=-10

Substitute x=2 in equation (1)

y=2x

y=2(2)

Therefore y=4

Therefore the solution is (2,4)

Therefore (2,4) is a solution to the system of equations.

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