Question

Which of the following pairs of equation have the same solutions?

• A. $6x=3$ and $3x=1.5$
• B. $8x=3$ and $4x=1$
• C. $10x=9$ and $5x=18$
• D. $12x=6$ and $6x=6$

Answer 1

The correct option is A $6x=3$ and $3x=1.5$

Option A,
$\because 6x=3$ and $3x=1.5$
$\Rightarrow x=\frac{3}{6}$ and $x=\frac{1.5}{3}$
$\Rightarrow x=\frac{1}{2}$ and $x=\frac{1}{2}$
The option A is the correct answer .
Option B, $8x=3$ and $4x=1$
$\Rightarrow x=\frac{3}{8}$ and $x=\frac{1}{4}$
Not having same solution.
Similarly, we can show for other options also.