Question

Choose values for A and B to create infinitely many solutions to this system of equations. 10x – Ay = 60 –10x + 20y = B A = B =

Answer 1

A: 20

B: -60

Explanation:

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Answer 2

`A = 20` and
`B = -60`

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:

`\alpha = (10)/(-10) = (-A)/(20) = (60)/(B)`

`\alpha = -1`

`-(A)/(20) = -1`

`A = 20`

`(60)/(B) = - 1`

`B = -60`

The values are
`A = 20` and
`B = -60`.