First-degree equation and how to solve it.
A first-degree equation is a polynomial equation in which the highest exponent of the variable is 1.
General form:
It is written as:
\( ax + b = 0 \)
Where:
a and b → are known numbers (constants).
x → is the unknown variable.
What is the solution?
The solution is the value of x that makes the equation true.
How to solve (step by step):
1️⃣ Isolate the term with x:
Put the term with x alone on one side.
Move the other terms to the other side.
2️⃣ Simplify the equation:
Perform operations on both sides.
Add or subtract values.
3️⃣ Isolate the variable:
Divide both sides by the coefficient of x.
Leave x alone.
4️⃣ Find the solution:
The value obtained for x is the solution of the equation.
It makes the equality true.
Example of General Form:
Equation: \( ax + b = 0 \)
Goal: find x.
Simple summary:
First-degree equation: \( ax + b = 0 \)
Steps:
isolate x.
simplify.
divide.
solve.
Special case:
Usually there is one unique solution.
If any value of x works, it is an identity.
Did you know?
As equações de primeiro grau são úteis para resolver problemas do dia a dia, como cálculos de custos, descontos, porcentagens, planejamento financeiro, entre outros. São frequentemente usadas em ciências e engenharia para modelar relações lineares entre variáveis e analisar comportamentos e tendências. Então não deixem de estudar e aprender sobre as equações de primeiro grau.
by @RosanaChax, Portugal
