After going through this course, the students will understand:
Any equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is called a linear equation in two variables.
The highest power of x and y in the equation is 1. The number multiplied to variable is called coefficient.
The geometrical (i.e., graphical) representation of a linear equation in two variables is a straight line.
The solution of a linear equation is not affected when:
(i) the same number is added to (or subtracted from) both the sides of the equation.
(ii) you multiply or divide both the sides of the equation by the same non-zero number.
A linear equation in two variables has infinitely many solutions.
Maîtriser les équations à deux variables
Migliora le tue competenze nella risoluzione di equazioni lineari a due variabili
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Ce que vous apprendrez
Contenu du cours
2 rubriques • 5 conférences • 01:17:04 longueur totaleExpressing an equation as a Linear Equation
When the cost of one item is twice the cost of another item, how to write a linear equation in two variables to represent the situation?
How to express an equation as a Linear equation in the form ax+by+c=0 and find out the values of a, b and c.
Linear Equations - finding values of a, b and c
How to rewrite the given equation in the standard form of linear equation in two variables and finding values of coefficients of variables and also c.
Linear Equations: Four solutions
How to write the four solutions for a given linear equation in two variables?
How to find whether a given linear equation in two variables has only one unique solution or only two solutions or infinitely many solutions?
Linear Equation: Checking the given solutions
How to find which is the correct solution out of the given solutions for a linear equation in two variables?
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Conoscenze di base di Algebra e concetti Geometrici
Students, businessmen and general public
À propos de ce cours
Che cosa significa Equazione Lineare a due variabili?
Qual è la forma standard di un'Equazione Lineare a due variabili?
La soluzione di un'equazione lineare è influenzata quando lo stesso numero viene aggiunto o sottratto su entrambi i lati dell'equazione?
Qual è la rappresentazione grafica di un'equazione lineare a due variabili?
Quando il costo di un articolo è il doppio del costo di un altro articolo, come scrivere un'equazione lineare a due variabili per rappresentare la situazione?
Come esprimere un'equazione come Equazione Lineare nella forma ax+by+c=0 e trovare i valori di a, b e c.
Come riscrivere l'equazione data nella forma standard di equazione lineare a due variabili e trovare i valori dei coefficienti delle variabili e anche di c.
Come scrivere le quattro soluzioni per una data equazione lineare a due variabili?
Come trovare se una data equazione lineare a due variabili ha solo una soluzione unica o solo due soluzioni o infinite soluzioni?
Come trovare quale sia la soluzione corretta tra le soluzioni date per un'equazione lineare a due variabili?
Come risolvere l'equazione lineare in cui c'è solo una variabile?
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