How to solve first degree equations


If there is a complicated and difficult subject for many students, it is without a doubt mathematics. Within the ESO it is the subject with the most failures in the students and the one that causes the most headaches. In this subject, one of the most difficult things to learn are the famous equations.

There are many types of equations, although the ones that are usually studied during ESO They are first, second and third grade. The key when solving an equation is to start with the first degree and then continue with the others. In the following article we are going to explain in a clear way the best way to solve the equations of the first degree.

First degree equations

This type of equations are also known as linear and They are the easiest to learn. They are a mathematical equality in which one of the values ​​is unknown. When solving it, you have to find the number that corresponds to that value.

In first degree equations, the unknown value is raised to one, unlike what happens in other kinds of equations, where the value is multiplied by itself one or more times.

Learn to solve first degree equations

When solving equations it is important to start with those of first degree and from there start with those of second or third degree. Then we show you the steps to follow when solving first degree equations correctly:

  • The first thing to do is group all the numbers to get the X out of the equation. Example of this would be: 4-x=x-6, 4+6=x+x.
  • Once you pass the numbers to the side, you must change their sign. In this way, if the number is adding to one side, when passing it to the other side you must put the negative sign on it.
  • The next step is to solve the operations of the numbers and group all the x's on the other side. An example would be 4+4=x+x, 8=2x.
  • The last step is to divide the result of the operation by the number of unknowns on the other side. An example would be 8=2x, 8/2=x, 4=x

In the event that there are more complex operations such as divisions or multiplications, you must solve them following the following order: Addition, subtraction, multiplication and division. If there were any parentheses, the operations inside them would have to be performed first.

first degree equations

Some tips for solving first degree equations

If you master the first degree equations, you will be able to go on to solve other types of somewhat more complicated equations as is the case with second graders. Then we give you a series of tips that can help you solve first degree equations:

  • If there is a term or value that is repeated on both sides, can be removed or removed. To do this, the number, the operation you are performing and that is outside a parenthesis must match.
  • In the event that there is a negative number in a fraction, the entire fraction is negative. You can put the negative sign in front of the whole equation and thus have it very clear.
  • When an unknown is negative you have to pass it to the other side by adding and then solve the rest of the number. It is a simpler way to solve the equation.

solve equations

Some examples of first degree equations

How to Solve an Equation with Fraction x/4=8

It's as easy as moving the 4 to the other side and clearing the x. When passing the 4 it is multiplied by the 8 giving rise to 32. In this way the x would be equal to 32.

How to solve an equation with a negative number -16+x=29

In this case, since it is a negative number, it must be grouped with the other number and added, in order to clear the variable. This way it would be x=29+16 and the x would be 45.

How to solve an equation with negative coefficient -5x=45

It's as easy as passing the 5 to the other side and Divide it by 45 to get x. As it is -5x, the division would be negative. In this way, it would be done in the following way: x=-45/5 and the x would be -9.

In short, when it comes to properly solving a first degree equation, You have to have some patience and pay attention to the different operations to be carried out. These types of equations can become complicated at first, so it is advisable to do them on a separate piece of paper. It is normal to have a series of errors at the beginning but with practice they become easy to solve. Once the first degree equations are well mastered, it is much easier and simpler to solve other types of somewhat more complicated equations such as those of the second and third degree.

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