Question

2/5(m-4)+3m/2 equal to 1/7​

Answer 1

Step-by-step explanation:

2/5(m-4)+3m/2 = 1/7

=> 2(m-4)/5+3m/2 = 1/7

=> 2m-8/5+3m/2 = 1/7

=> 2(2m-8)+5(3m)/10 = 1/7

=> 4m-16+15m/10 = 1/7

=> 4m+15m-16/10 = 1/7

=> 19m-16/10 = 1/7

=> 7(19m-16) = 1×10

=> 133m-16 = 10

=> 133m = 10+16

=> 133m = 26

=> m = 26/133

Hope this helped you!!

Answer 2

Answer:

$\frac{2}{5} (m - 4) + \frac{3m}{2} = \frac{1}{7} \\ \\ = \frac{2m - 8}{5} + \frac{3m}{2} = \frac{1}{7} \\ \\ = \frac{4m - 16 + 15m}{10} = \frac{1}{7} \\ \\ = \frac{19m - 16}{10} = \frac{1}{7} \\ \\ = 7(19m - 16) = 10 \\ \\ = 133m - 112 = 10 \\ \\ = 133m = 122 \\ \\ m = \frac{122}{133}$