Question

Which of the following equations has a solution of x = 3?

• A. $8x-10=2x-16$
• B. $7x=28$
• C. $2x-3=3x-6$
• D. $5x=15$

Answer 1

Answer: (C), (D)

The correct options are
C

$2x-3=3x-6$

D

$5x=15$

Solving the given four equations, we get

$\left(i\right)8x-10=2x-16$
$\Rightarrow 6x=-6$
$\Rightarrow x=-1$

$\left(ii\right)7x=28$
$\Rightarrow x=\frac{28}{7}$
$\Rightarrow x=4$

$\left(iii\right)2x-3=3x-6$
$\Rightarrow 3x-2x=6-3$
$\Rightarrow x=3$

$\left(iv\right)5x=15$
$\Rightarrow x=\frac{15}{5}$
$\Rightarrow x=3$