Question

Match the columns.

Answer 1

(A)

$Given,\frac{5}{2}x+3=\frac{21}{2}⟹\frac{5}{2}x=\frac{21}{2}-3⟹\frac{5}{2}x=\frac{21-6}{2}⟹\frac{5}{2}x=\frac{15}{2}⟹5x=15$

$\Rightarrow x=3$

(B)

Given, $\frac{x-1}{3}+\frac{x-4}{5}=5$

$⟹\frac{5(x-1)+3(x-4)}{15}=5$ ...[Taking LCM on LHS]

$⟹5x-5+3x-12=75$ ...[Cross-multiplication]

$⟹8x-17=75⟹8x=75+17=92⟹x=\frac{92}{8}=\frac{23}{2}or,x=11\frac{1}{2}$

(C)

Given, $x+4=2x$

or, $x-2x=-4$ ...[Transposing 2x to LHS and 4 to RHS]

or, $-x=-4$

or, $x=4$