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 = -2x * 3^x

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 = -2x * 3^x

oraclethinktank · Answer

I already know that there is no solution. I just do not know the equation to solve the system.

photon336 · Answer

this right? 

$$y = -2x+3 $$

$$y = -2x*3^{x}$$

oraclethinktank · Answer

The first one is correct, the second one, there is no x next to the 2. That's a mistake on my  part. It would be y = -2*3^x

photon336 · Answer

$$y = -2*3^{x}$$

oraclethinktank · Answer

Yeah.

photon336 · Answer

hmm solve the top equation for x for me  y = -2x+3

oraclethinktank · Answer

By graphing, the slope is -2 and the y intercept is 3

photon336 · Answer

Yeah taken alone that is correct.

photon336 · Answer

y = -2x+3 
y = -2*3^x 

$$-2x+3 = -2*3^{x}$$

probably the best thing to do if you want to find the intersection of two equations is to set them equal to each-other.

oraclethinktank · Answer

The question already has a graph shown. There are no intersection points, Therefore there is no solution.

photon336 · Answer

there is no graph It's not posted.

photon336 · Answer

if they gave you a graph you can easily say that no intersection points exist therefore there is no solution to your equation.

oraclethinktank · Answer

Not entirely, I'm supposed to convert it to the Quadratic formula to show that there is no solution. I wish it was as easy as stating that there is no solution.

photon336 · Answer

$$y = -2*3^{x}$$

 that's exponential though.. don't know how they could ask for that. you sure this is the right question?

oraclethinktank · Answer

Yes. That is exactly how it is shown. I don't understand it myself.

oraclethinktank · Answer

attachment

oraclethinktank · Answer

This is the graph shown.

oraclethinktank · Answer

The system of equations makes this graph.

photon336 · Answer

yep no solution to that.

photon336 · Answer

well, you can't solve anything because there isn't an intersection point so there's no solution to it but if you were to solve it you could set the two equal to each-other.

oraclethinktank · Answer

So by setting the two equal to each-other, the next step would be to substitute them into the quadratic formula.

oraclethinktank · Answer

How would I do that?

oraclethinktank · Answer

@Photon336

photon336 · Answer

@oraclethinktank why the quadratic formula?