Respuesta :

According to the given question we have the following equation to solve:

[tex]\frac{5}{2}=\text{ }\frac{\text{7m + 3}}{m\text{ - 7}}[/tex]

To calculate this equation we would use the following property:

Apply fraction cross multiply:

For example if:

[tex]\frac{a}{b}=\frac{c}{d}\text{ then a}\times d=b\times c[/tex]

Therefore,

5(m-7)=2(7m+3)

5m -35=14m + 6

5m-14m=6+35

-9m=41

m=-41/9