Question

5. 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 6. A linear equation in one variable has(a) Only one solution(b) Two solutions(c) More than two solutions (a) No solution​

Answer 1

1. c
2. b

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Answer 2

5. 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

The answer is (c). As we know that linear equation means the degree of the equation must be 1. So, if the power only is 1, this means, the degree of the equation is one. So, this becomes an eligible linear equation.  The question has also asked for a single variable. So, the option (c) best meets the criteria of a linear equation with one variable. Example :- 5x + 2 = 17

6. A linear equation in one variable has

✔(a) Only one solution

(b) Two solutions

(c) More than two solutions

(a) No solution​

The answer is (a) Only one solution. We know, that the number of the solutions is equal to the degree of the equation. It is a linear equation whose degree is 1, so it has also 1 solution. If we take the above given example, i.e. 5x + 2 = 17, we may find that the solution of the equation(or the value of x) comes as 3. The value of x cant be any rational number other than 3. So, the answer is option (a).