Question

Which of the following equation is not a linear equation in one variable ?
→ a) x + 4 = 21
b)2x + 4 = x
c) 3t = 1
d) x + 3 = y​

Answer 1

Concept: Linear equation how to know about linear equation

Answer: Option D is correct answer,

Step-by-step explanation:

• A linear polynomial is of the form $ax^{}+b,$ where a and b are constant, a≠0,
• Every linear polynomial has exactly one root
• In option (a),

                               $x^{} +4=21\\x^{}+4-21\\x^{}-17\\x^{}+(-17)$

this equation follow the linear equation rule $ax^{}+b$ so, this is linear equation

• In option (b)

                                $2x^{}+4=x\\2x^{}+4-x\\x^{}+4$

this equation follow the linear equation rule $ax^{}+b$ so, this is linear equation

• In option (c)

                                   $3t^{}=1\\3t^{}-1\\3t^{}+(-1)$

this equation follow the linear equation rule $ax^{}+b$ so, this is linear equation but here we let x=t,

• In option (d)

                                    $x^{}+3=y\\ x^{}-y+3$

this is not a linear equation not following the $ax^{}+b$ rule,

Hence, the correct answer of the question is option D