top of page
  • Jesse Sakari Hyttinen

Equation solving basics - Jesse Hyttinen

Updated: Apr 20, 2021

Hi and welcome to the Matladpi blog! In this post I will concentrate on equation solving basics.

Equations are used everywhere in math and science: for example, the kinetic and potential energy equations in physics, reaction equations in chemistry and linear equations in math.

In the basics we will concentrate on these linear equations. An equation with one argument can be basically written in the following way:

f(x) = g(x)

, where f(x) is the left side and g(x) is the right side of the equation. For example, if f(x) = x and g(x) = 1, we have 

x = 1

As the equation sides both have an x as their arguments, this equation already shows an answer. Namely, x equals one, so one is an answer.

You may wonder what an argument is. It is the one whose answer we are looking for. The equation sides may also be dependent of it.

For example, if f(x) = x, f(2) = 2,  if f(x) = x - 5, f(4) = 4 - 5 = -1 and if f(x)

= 4, f(30) = 4.

This f(x) can also be called a function that is dependent on x or has x as its argument.

In a basic equation, the equivalence relation must be fulfilled, so if you remove a constant (like 5) from one side, you must also remove it from the other, too. Same goes for addition.

If you multiply one side with a constant, you must also multiply the other one with this constant, too. The same goes for dividing the sides with a constant.

Zero is always a forbidden constant, what comes to the multiplication or division of the both sides of the equation. You should not divide or multiply both sides with an argument, either. This may remove or even create unwanted solutions and thus giving wrong answers as a whole. Njäf! said.

I am Jesse Sakari Hyttinen and I will see you in the next post!

4 views0 comments

Recent Posts

See All

Sum problems - Jesse Hyttinen

Hi and welcome to the Matladpi blog! Let there be two numbers a and b such that their sum is n, n > 0. What numbers should you pick in order to maximize the number a*b? Answer: a = a a + b = n <=> b =

Numbers game - Jesse Hyttinen

Hi and welcome to the Matladpi blog! How would you prove that "The number one can be represented as a sequence of infinitely many irrational numbers, where every number is different and the numbers ar

Thoughts on my tree theorem - Jesse Hyttinen

Hi and welcome to the Matladpi blog! The theorem that I have discovered quite a while ago about mathematical trees has some pretty interesting consequences. For a remainder, the theorem is stated as t

Post: Blog2_Post
bottom of page