Answer :
Answer:
[tex]A = 20[/tex] and [tex]B = -60[/tex]
Step-by-step explanation:
A system with infinite number of solutions is formed by equations which are a multiple of the other one. Then, the following proportion must be observed:
[tex]\alpha = \frac{10}{-10} = \frac{-A}{20} = \frac{60}{B}[/tex]
[tex]\alpha = -1[/tex]
[tex]-\frac{A}{20} = -1[/tex]
[tex]A = 20[/tex]
[tex]\frac{60}{B} = - 1[/tex]
[tex]B = -60[/tex]
The values are [tex]A = 20[/tex] and [tex]B = -60[/tex].