Given the system of equations: ax + by = 12 2x + 8y = 60, where a and b are constants. If the system is consistent and dependent, what is the value of b/a?

Question

Yahir Dennis

Mathematics

24 November, 10:37

Given the system of equations: ax + by = 12 2x + 8y = 60, where a and b are constants. If the system is consistent and dependent, what is the value of b/a?

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Answers (1)

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Kaeden Figueroa · Answer 1

a = 0.4 and b=1.6

Step-by-step explanation:

Both expressions are simply divided

(2x + 8y = 60) : (ax + by = 12)

60:12 = 5, Hence coefficient of x and y in the bigger equation is divided by 5 to find a and b

2/5 = 0.4 = a

8/5 = 1.6 = b