Answer:
m=-29/3 and n=65/3
Step-by-step explanation:
The given system has equations:
3m+3n=36
8m+5n=31
Multiply the top equation by 5 and bottom equation by 3 to get:
15m+15n=180
24m+15n=93
Subtract the top equation from the bottom equation to get:
9m=-87
Divide both sides by 9
[tex]m = - \frac{29}{3} [/tex]
We substitute this value into the first equation to get:
[tex]3( - \frac{29}{3} ) + 3n = 36[/tex]
[tex]3n = 36 + 29[/tex]
[tex]3n = 65[/tex]
[tex]n = \frac{65}{3} [/tex]
