Question

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 ? .
​(Type an​ equation.)

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

Graph the equation.

Answer 1

Choice A is correct answer.

(4,5)

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.

Answer 2

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

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)