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What values should A and B have so that the next system of equations has an infinite amount of solutions?


Ax - 7y = -18

8x - By = -9A

Respuesta :

wegnerkolmp2741o

for the system to have an infinite amount of solutions, the equations must be equal


Ax - 7y = -18            

8x - By = -9A    


a/8 = -7/-b   = -18/-9a

a/8 = 7/b =2/a

using cross products

a^2 = 16

a =4

then

4/8 = 7/b

4b = 56

b = 56/4 = 14


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