which answer can be used to find the solution to the system of equations?\n$x = \\frac{3}{x}$\n$x =…

which answer can be used to find the solution to the system of equations?\n$x = \\frac{3}{x}$\n$x = \\frac{9}{x}$\n$0 = \\frac{3}{x}+x$\n$0 = \\frac{9}{x}+x$

which answer can be used to find the solution to the system of equations?\n$x = \\frac{3}{x}$\n$x = \\frac{9}{x}$\n$0 = \\frac{3}{x}+x$\n$0 = \\frac{9}{x}+x$

Answer

Answer:

The solution to a system of equations can be found where the graphs of the equations intersect. When dealing with equations in the form of rational - type equations like the ones presented, we set the two equations equal to each other. If we assume the two equations are (y_1) and (y_2), and we want to find the (x) - values of the intersection points, we set (y_1 - y_2=0).

Let's assume one of the equations is (y = \frac{9}{x}) and the other is (y=-x). To find the intersection points (solution of the system), we set (\frac{9}{x}=-x), which can be rewritten as (0=\frac{9}{x}+x).

So the answer is (0 = \frac{9}{x}+x).

Explanation:

Step1: Recall intersection concept

The solution of a system of equations is at intersection.

Step2: Set equations equal

If (y_1=\frac{9}{x}) and (y_2 = - x), set (y_1=y_2).

Step3: Rearrange equation

(\frac{9}{x}=-x) becomes (0=\frac{9}{x}+x).