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

Answer:

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

Step-by-step explanation:

Given system of equation are

$y=2x \hfill (1)$

$y=\frac{-1}{2}x+5\hfill (2)$

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)

$2x=\frac{-1}{2}x+5$

$\frac{-1}{5}x+5-2x=0$

$5-\frac{x}{2}-2x=0$

$5-\frac{x+4x}{2}=0$

$5-\frac{5x}{2}=0$

$\frac{10-5x}{2}=0$

10-5x=0

-5x=-10

$x=\frac{10}{5}$

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.