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Fiesta28 [93]
3 years ago
12

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

Mathematics
1 answer:
amm18123 years ago
6 0

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}

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