Question

Solve the system.

0.8x + y = -9.6
0.2x - 0.3y = 2

A) (-6,0)

B) (-12,0)

C) (-2,-8)

D) (8,-16)

Answer 1

The correct answer is C. (-2,-8)

Answer 2

For this set of equations you're going to want to use a process called elimination. In short you can multiply the entire second equation by negative four

-4 (0.2x - 0.3y = 2)

and in turn your equations will now look as follows.

0.8x + y = -9.6
-0.8x + 1.2y = -8

now you may add these two equations together which will leave you with

2.2y = -17.6

divide by 2.2 and then you will end up with

y= -8

and since only one of these answers has a negative 8 as y is can be said that

C. (-2,-8) is the correvt answer.