Solve the system by graphing.

x+y= 9

x-y= -1

Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A.
The solution set is { }
​(Type an ordered​ pair.)

B.
There are infinitely many solutions. The solution set is { (x,y) | ? }.
​(Type an​ equation.)

C.
There is no solution. The solution set is empty set.

Graph the equation.

Respuesta :

Answer: Option A. The solution set is (4,5)

Step-by-step explanation:

Solve the equation for y to obtain the form of the equation of the line.

You have:

y=-x+9 (The slope is -1 and the y-intercept is 9)

y=x+1 (The slope is 1 and the y-intercept is 1)

When you graph it you obtain the graph shown in the figure attached.

The solution is the intersection of the lines.

Then, the solution set is (4,5)

Ver imagen carlosego

Answer:

Choice A is correct answer.

(4,5)

Step-by-step explanation:

We have given a system of equations.

x+y = 9              eq(1)

x-y = -1               eq(2)

We have to solve given system of equations by graphing.

From eq(1) ,

y = -x+9

slope = -1 and y- intercept is 9.

Frpm eq(2) ,

y = x+1

slope = 1 and y-intercept = 1

We have to draw given equation on graph.

From attachment , see the intersection point of equations.

(4,5) is intersection point which is our solution.

Ver imagen zainebamir540