Question
If a linear equation has two variables, what is it called?
- Linear equation in one variable
- Linear equation in two variables
- Both a and b
- None of the above
Hint:
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0.
Here we have asked what is a linear equation that has two variables.
The correct answer is: Linear equation in two variables
An equation that has two variables and the highest power of the variables is 1 is called linear equation in two variables.
The expression for a linear equation involving two variables is Ax + by + C = 0, where A, B, and C are constants and x and y are the two variables, each with a degree of one.
In this there are three systems:
- No solution: Parallel lines
- One solution: Intersecting lines
- Infinitely many solutions: Coincident lines
So the answer is Linear equation in two variables.
Here the concept of Linear equations and Linear equations in two variables were used. Two or more equations with the same solution make up a system of linear equations. Each equation in a system of linear equations can be represented by a straight line, and the intersection of two or more such lines is the solution.
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