How many solutions does the system formed by x - y = 9 and

Mathematics

1 answer:

Brut [27]3 years ago

5 0

Answer:

infinite
-9
9

Step-by-step explanation:

If you read through the bottom paragraph, you see it concludes with, "the equations describe the same line." This means the system has infinite solutions, because the two lines intersect everywhere.

The rest of the solution is described in the paragraph. Starting with the rearranged form

-ax +ay +9a = 0

"subtract 9a from both sides" means you now have ...

-ax +ay +9a -9a = 0 -9a

-ax +ay = -9a . . . . . . . . "-9" goes in the first box

Now, dividing by -a gives you ...

(-ax)/(-a) +(ay)/(-a) + (-9a)/(-a)

x - y = 9 . . . . . . . . . . . . "9" goes in the second box, confirmed by the following statement that the equations (this, and x - y = 9) "describe the same line".

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