Question

!!!!Pls help!!!!!

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.

Answer 1

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

Explanation:

Given system of equation are

`y=2x \hfill (1)`

`y=(-1)/(2)x+5\hfill (2)`

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)

`2x=(-1)/(2)x+5`

`(-1)/(5)x+5-2x=0`

`5-(x)/(2)-2x=0`

`5-(x+4x)/(2)=0`

`5-(5x)/(2)=0`

`(10-5x)/(2)=0`

10-5x=0

-5x=-10

`x=(10)/(5)`

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.