Simultaneous Equations - Quadratic and Linear - Method of Substitution - Parabola & Line - Example 1

We learn how to solve simultaneous equations with quadratics, in particular a quadratic and a linear. We use the method of substitution and work through an example showing all of the steps of the working as well as how to interpret the simultaneous equations graphically as the points of intersection of a parabola and a line.

[sachinmohan]

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[francisbusa]

This is a great example of demonstrating mathematically how Biblical prophecy can often have a "near solution", or fulfillment, as well as a "far" solution (fulfillment).
If we look at the parabola as the will and purposes of God, and the straight line as the time line of the history of the Creation, we see that a given prophecy will often display this pattern, i.e., more than one fulfillment.
Prophetic messages can be seen throughout the Old and the New Testaments in the form of "types and shadows".
An example would be the life of the prophet Enoch, who was born and lived before the Flood of Noah's day, but who was taken up into heaven by God.
But since it is appointed unto men that all men must die in this natural life, Enoch must return to this life one day to fulfill, not only God's edict to end his natural life on earth, but also to fulfill God's plan and purpose as one of the two witnesses in chapter 11 in the Book of Revelation. (The prophet Elijah being the other witness, who also was taken up to heaven for a time, and who also has not yet died).
The first intersection of the parabola with the straight line represents the birth and life of Enoch before the Flood.
The second intersection of the timeline represents Enoch's death and resurrection in the Book of Revelation.
There is much more to say about all this, but in a different venue.