How do you solve this system of equations: #y= 3e ^ { - x } and y - 4x - 4= 0#?

1 Answer
Douglas K.
Jan 19, 2018

You cannot solve the two equations using standard functions.
You can use graphical methods or a computation engine.

Explanation:

Here is a graph:

graph{3e^(-x)-4x-4 [-0.2485, 0.0075, -0.0553, 0.0727]}

Please observe that #y = 0# when #x ~~ -0.13855#

The computation engine WolframAlpha gives :

#x ~~ -0.138547#

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