Question

What is the value of $x$ if $\frac{5x-3}{12}=1$?

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is C 3

Given,
LHS = $\frac{5x-3}{12}$
and RHS = 1

Using $trialanderrormethod$,

Case 1:

Putting $x=1$,
LHS = $\frac{5\times 1-3}{12}$ = $\frac{5-3}{12}$ = $\frac{2}{12}$ = $\frac{1}{6}$
Hence, LHS is not equal to RHS.

Case 2:

Putting $x=2$,
LHS = $\frac{5\times 2-3}{12}$ = $\frac{10-3}{12}$ = $\frac{7}{12}$
Hence, LHS is not equal to RHS.

Case 3:
Putting $x=3$,
LHS = $\frac{5\times 3-3}{12}$ = $\frac{15-3}{12}$ = $\frac{12}{12}$ = 1
Hence, LHS is equal to RHS.

$\therefore$ $x$ = 3 is the solution for given algebraic equation.