Linear Equations in Two Variables from "summary" of NCERT Class 10 Mathematics Solutions by JagranJosh
Linear equations in two variables are equations that involve two variables and can be represented graphically as straight lines. These equations are commonly used in mathematics to model real-world situations and solve problems. In these equations, the variables are usually denoted by x and y. The general form of a linear equation in two variables is ax + by = c, where a, b, and c are constants. The values of a, b, and c determine the slope and y-intercept of the line represented by the equation. To graph a linear equation in two variables, one can use the x and y-intercepts of the line. The x-intercept is the point where the line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. By plotting these points and connecting them with a straight line, one can visualize the relationship between the two variables. Solving a system of linear equations in two variables involves finding the values of x and y that satisfy both equations simultaneously. This can be done using various methods such as substitution, elimination, or graphing. Linear equations in two variables play a crucial role in various fields such as physics, economics, and engineering. They are used to analyze and predict relationships between different quantities and make informed decisions based on data. Understanding the concept of linear equations in two variables is essential for problem-solving and critical thinking in mathematics.
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