A linear equation in two variables is a type of mathematical statement that shows a straight-line relationship between the variables, usually represented as x and y. This means that if you make a graph of the two variables, the graph will be a straight line.
In a linear equation with x an y, each term is either a constant number or a multiple of a variable, and it can be written in the form y = mx + c. Here, "m" stands for the gradient (or slope) of the line, which tells you how steep the line is, and "c" represents the y-intercept, which is the point where the line crosses the y-axis.
A linear equation in one variable can be solved. Solving a linear equation means finding the value of the variable that makes the equation true, and it often involves simple arithmetic operations like adding, subtracting, multiplying, or dividing. For example the solution to 2x+3=7 is x=2.
Linear equations are important in many areas of maths and are useful for finding trends and patterns in data.
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