The following equations define a system.

2x + y = 10
−x + 2y = 5

Which graph represents the system?

The graph shows a line that passes through negative 5 comma 0 and 0 comma 2.5. There is a second line that passes through 0 comma 10 and 5 comma 0. The lines intersect at 3 comma 4.
The graph shows a line that passes through negative 5 comma 0 and 0 comma 10. There is a second line that passes through 0 comma 2.5 and 5 comma 0. The lines intersect at negative 3 comma 4.
The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 2.5. There is a second line that passes through 0 comma negative 10 and 5 comma 0. The lines intersect at 3 comma negative 4.
The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 10. There is a second line that passes through 0 comma negative 2.5 and 5 comma 0. The lines intersect at negative 3 comma negative 4.

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

How to determine the solution to the system?

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x + y = 10

−x + 2y = 5

The graphs in the options are not given.

So, I will plot and attach the graph of 2x + y = 10 and −x + 2y = 5

The attached graph represents the graph of 2x + y = 10 and −x + 2y = 5

Hence, see attachment for the graph of 2x + y = 10 and −x + 2y = 5

Read more about system of equations at:

https://brainly.com/question/13729904

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