SOLUTION: 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

Algebra ->  Systems-of-equations -> SOLUTION: 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      Log On


   

Question 1072169: 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
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
y=-2x+3
y=-2*3^x
:
plot these two equations and it is apparent there are 0 solutions
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-2%2A3%5Ex%2C+-2x%2B3%29+
:
y=y therefore
-2%2A3%5Ex+=+-2x%2B3
multily both sides by -1
2%2A3%5Ex+=+2x-3
divide both sides by 2
3%5Ex+=+x+-+1.5
3%5Ex+-+x+%2B+1.5+=+0
plot this equation, no real roots here either
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3%5Ex+-x%2B1.5%29+