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
We substitute this value into the first equation to get:
Answer:
3 a : 2 b = 6 : 1
Step-by-step explanation:
<em> =
</em>
<em>3 ( a + b) = 5 ( a - b) </em>
<em>3 a + 3 b = 5 a - 5 b </em>
<em>5 b + 3 b = 5 a - 3 a </em>
<em> 8 b = 2 a </em>
<em> 2 a = 8 b</em>
<em><u>a = 4 b</u></em>
<em>3 a = 3 × 4 b</em>
<em><u>3 a = 12 b</u></em>
<em>3 a: 2 b = 12 b : 2 b</em>
<em>3 a : 2 b = 6 : 1</em>