How many solutions exist for the system below?

Question

How many solutions exist for the system below?

In two or more complete sentences, give the solution and explain how you solved the system?

 

y=-2x+3

y=-2(3^x)

here is the graph

https://wca.sooschools.com/media/g_alg01_ccss_2015/9/img_alg1u09l03_02.gif

im so confused

 

Answer 1

For a system of two equations to have a solution both equations must be solved by the same ordered pair.

If the two equations are graphed they shall intersect.

The two equations pictured do not intersect. They do not have a common solution.

The system does not have a solution.

Answer 2

Hi Emily,

 

Based on the graph in the link, the lines will not intersect and therefore there are no solutions for the system.