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.
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課程內容
2 部分 • 5 講座 • 01:17:04 總長度Expressing 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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代数和几何概念的基础知识
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關於本課程
什么是二元线性方程?
二元线性方程的标准形式是什么?
当在方程的两边同时加上或减去同一个数,是否会影响线性方程的解?
二元线性方程的图形表示是什么样的?
当一件物品的成本是另一件物品成本的两倍时,如何用二元线性方程来表示这种情况?
如何将一个方程表示为ax+by+c=0形式的线性方程,并找出a、b和c的值。
如何将给定的方程重写为二元线性方程的标准形式,并找出变量的系数和c的值。
如何为给定的二元线性方程写出四个解?
如何找出给定的二元线性方程是否只有一个唯一解,还是只有两个解,或者无穷多个解?
如何从给定的解中找出二元线性方程的正确解?
如何解决只有一个变量的线性方程?
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