Question

Solve 5x+(7/2)=(3/2)x+14
a.3
b.6
c.5
d.4​

Answer 1

$\huge\mathtt\colorbox{skyblue}{answer~~~↓}$

$\small{ }$

$\large\bf{{\underline{\underline{To~find~:}}}}$

The value of ‛x’ in the equation :

$\sf 5x + \frac{7}{2} = \frac{3}{2}x + 14 \\ \\ \sf 5x - \frac{3}{2} x = 14 - \frac{7}{2} \\ \\ \sf \frac{10x - 3x}{2} = \frac{28 - 7}{2} \\ \\ \sf \frac{7x}{2} = \frac{21}{2} \\ \\ \sf By \: cross \: multiplication, \: we \: get \\ \\ \sf 2(7x) = 2 \times 21 \\ \\ \sf 14x = 42 \\ \\ \sf x = \frac{42}{14} \\ \\ \sf x = 3$

$\small{ }$

$\large\therefore\bf{{\underline{\underline{Required~answer~:}}}}$

x = 3

Correct option : a. 3 ✔️

$\huge\bold\blue{Hope~it~helps..!!}$

Answer 2

$\huge\fbox\blue{Answer}$

$\large{5x + \frac{7}{2} = \frac{3}{2} x + 14}$

$\large{5x + \frac{7}{2} = \frac{3x}{2} + 14}$

$\large{5x - \frac{3x}{2} = 14 - \frac{7}{2}}$

$\large{\frac{10x - 3x}{2} = \frac{28 - 7}{2}}$

$\large{ \frac{7x}{2} = \frac{21}{2}}$

$\large{x = \frac{21 \times 2}{2 \times 7}}$

$\large\bold{x = 3}$