Linear equation in one variable has
(a) only one variable with any power.
(b) only one term with a variable.
(c) only one variable with power 1.
(d) only constant term.
Solution:
Given, linear equation in one variable.
We have to choose the correct option that satisfies the given definition.
A linear equation is a type of equation in which the degree of each variable in the equation is exactly equal to one.
Linear equations in one variable are those equations in which there is only one variable present, and there is only one solution of the equation.
Example: consider the equation x + 4 = 10
On solving the equation for x,
x = 10 - 4
x = 6
We observe that x + 4 = 10 is a linear equation with one variable x and has only one solution 6.
Therefore, a linear equation in one variable has only one variable with power 1.
✦ Try This: The solution of the equation 5x - 12 = x + 4 is
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2
NCERT Exemplar Class 8 Maths Chapter 4 Problem 8
Linear equation in one variable has (a) only one variable with any power, (b) only one term with a variable, (c) only one variable with power 1, (d) only constant term.
Summary:
Linear equation in one variable has only one variable with power 1
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