Respuesta :

If you draw the graph of y = -x + 6  on the above graph  the solution to system will be the coordinates of the point of intersection.
the equation of the line drawn above is y = 0.5x

so you can also find the solution by solving the system
y = 0.5x
y = -x + 6

0.5x = -x + 6
1.5x = 6
x = 6/1.5 = 4

and y = 0.5*4 = 2

The answer is  (4, 2)     - the third choice.

The solution to the system that is created by the equation y=-x+6 and the graph shown below is (4, 2). So, the third choice is correct.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The graph of y = -x + 6 is given as;

on the above graph the solution to system will be the coordinates of the point of intersection, the equation of the line drawn above is y = 0.5x

We need to find the solution by solving the system,

y = 0.5x

y = -x + 6

Now, we will substitue the value of y;

0.5x = -x + 6

1.5x = 6

x = 6/1.5 = 4

Again putting the value of x, we can find the value of y,

So, we get

and y = 0.5 (4 )

y = 2

The solution to the system that is created by the equation y=-x+6 and the graph shown below is given as (4, 2)  

So, the third choice is correct.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ5

Otras preguntas