Question

Explain how you know that there is only one solution to this system of equations: y=x+5

y=−2​x−1

Answer 1

There is only one solution because when you set the two y's to each other you only get one solution.

Explanation:

y=x+5

y=-2x-1

x+5 = -2x-1

3x = -6

x = -2

Since we only get one value for x, there is only one solution. Also if you graph the two lines, you will see that there is only one intersection, which is the solution of this systems of equations