Question

Which of the follwing equation(s) is/are linear equation(s) in one variable?

• A. 2x + 4 = 95
• B. x + 9 = 7
• C. $x\times 0+1=1$
• D. 17 = 3x + 5

Answer 1

Answer: (A), (B), (D)

17 = 3x + 5

A linear equation in one variable is an equation that can be expressed in the form of ax + b = 0, where $a\ne 0$ and a, and b are real numbers.

Option A: 2x + 5 = 9
$\Rightarrow 2x+5=9\Rightarrow 2x-4=0$
this equation can be expressed in the form of ax + b = 0, where $a\ne 0$ and a = 2, b = - 4 are real numbers.

Option B: x + 1 = 75
$\Rightarrow x+1=7\Rightarrow x-6=0$
this equation can be expressed in the form of ax + b = 0, where $a\ne 0$ and a = 1, b = - 6 are real numbers.

Option C: $x\times 0+1=1$
$\Rightarrow x\times 0+1=1\Rightarrow x\times 0+1=0$
this equation can not be expressed in the form of ax + b = 0, as a = 0.

Option D: 17 = 3x + 5
$\Rightarrow 17=3x+5\Rightarrow 3x-12=0$
this equation can be expressed in the form of ax + b = 0, where a = 3, b = 12 are real numbers.