Question 1

\frac{3m}{2m-5}-\frac{7}{3m+1}=\frac{3}{2}

Question 2

$\sf \longrightarrow \: (3m)/(2m-5)-(7)/(3m+1)=(3)/(2) \\$

$\sf \longrightarrow \: (3m(3m + 1) - 7(2m-5))/((2m-5)(3m+1))=(3)/(2) \\$

$\sf \longrightarrow \: \frac{9 {m}^(2) + 3m \: - 14m + 35}{(2m-5)(3m+1)}=(3)/(2) \\$

$\sf \longrightarrow \: \frac{9 {m}^(2) + 3m \: - 14m + 35}{6 {m}^(2) + 2m - 15m - 5 }=(3)/(2) \\$

$\sf \longrightarrow \: 2(9 {m}^(2) + 3m \: - 14m + 35) = 3(6 {m}^(2) + 2m - 15m - 5 )\\$

$\sf \longrightarrow \: 18 {m}^(2) + 6m - 28m + 70 \: = 3(6 {m}^(2) + 2m - 15m - 5 )\\$

$\sf \longrightarrow \: 18 {m}^(2) + 6m - 28m + 70 \: =18 {m}^(2) + 6m - 45m - 15 \\$

$\sf \longrightarrow \: 18 {m}^(2) + 6m - 28m + 70 \: - 18 {m}^(2) - 6m + 45m + 15 = 0 \\$

$\sf \longrightarrow \: \cancel{18 }{m}^(2) + \cancel{ 6m} - 28m + 70 \: - \cancel{18 {m}^(2) } - \cancel{ 6m } + 45m + 15 = 0 \\$

$\sf \longrightarrow \: - 28m + 70 \: + 45m + 15 = 0 \\$

$\sf \longrightarrow \: 17m + 85 = 0 \\$

$\sf \longrightarrow \: 17m = - 85\\$

$\sf \longrightarrow \: m = - ( 85)/(17)\\$

$\sf \longrightarrow \: m = - 5 \\$

Please log in or register to add a comment.

Please log in or register to answer this question.