Question

Solve 4 alpha+ 3 beta= -1 and 3 alpha-4 beta =-22

Answer 1

Answer:

α = -14/5

β = 17/5

Step-by-step explanation:

4α + 3β = -1   - Eq 1

3α - 4β = -22   Eq 2

Multiplying Eq 1 by 4

16α + 12β = -4

multiplying Eq 2 ny 3

9α - 12β = -66

Adding both resultant equation

25α = - 70

=> 5α = -14

=> α = -14/5

Now multiplying eq 1 by 3

12α + 9β = -3

Now multiplying eq 2 by 4

12α - 16β = -88

on Subtraction

25β = 85

=> 5β = 17

=> β = 17/5