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QveST [7]
3 years ago
5

!!!!Pls help!!!!!

Mathematics
1 answer:
hichkok12 [17]3 years ago
4 0

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.

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