Question

3m+3n=36 8m+5n=31 Using the process of elimination

Answer 1

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

$m = - \frac{29}{3}$

We substitute this value into the first equation to get:

$3( - \frac{29}{3} ) + 3n = 36$

$3n = 36 + 29$

$3n = 65$

$n = \frac{65}{3}$