Question

please help me to solve it​

Answer 1

Step-by-step explanation:

3x +7/5x-4-13/6

6 x (3x+7) = 13 x (5x-4)

18x +42=65x-52

47x=94

x=94/47

x=2

verification

3 x 2 + 7/5 x 2-4

6+7/10-4

13/6

Answer 2

$\orange{ \boxed{\boxed{\begin{array}{cc}\hookrightarrow \rm \: given : \\ \\ \rm \frac{5x - 4}{3x + 7} = \frac{1}{2} \\ \\ \hookrightarrow \rm \: 2(5x - 4) = 1(3x + 7) \\ \\ \hookrightarrow \rm \:10x - 8 = 3x + 7 \\ \\ \hookrightarrow \rm \:10x - 3x = 7 + 8 \\ \\ \hookrightarrow \rm \:7x = 15 \\ \\ \hookrightarrow \rm \:x = \frac{15}{7} \end{array}}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ \underline{ \sf \: verification}}$

$\green{ \boxed{\boxed{\begin{array}{cc}\rm \: L.H.S = \frac{5x - 4}{3x + 7} \\ \\ = \rm\: \frac{5 \times \frac{15}{7} - 4}{3 \times \frac{15}{7} + 7 } \\ \\ \rm = \frac{ \frac{75 - 28}{7} }{ \frac{45 + 49}{7} } \\ \\ = \frac{47}{94} \\ \\ = \frac{1}{2} \\ \\ \rm = R.H.S\end{array}}}}</p><p>$