Solve using elimination 6x + 2y = -8 3x - 2y = -19

x=-3, y=5

Step-by-step explanation:

6x + 2y = -8   3x - 2y = -19

Add the two equations together to eliminate y

6x + 2y = -8

3x - 2y = -19

9x        = -27

Divide each side by 9

9x/9 = -27/9

x = -3

Now we find y

6x + 2y = -8

6(-3) +2y = -8

-18+2y = -8

Add 18 to each side

-18+18 +2y = -8+18

2y = 10

Divide by 2

2y/2 = 10/2

y =5

No; 1,200 will cause him to exceed 2,000.

Step-by-step explanation:

He has a net consumption of 1400-400=1000 today

He can consume 2000-1000=1000 calories more

Consuming 1200 will cause his daily consume to reach 1200+1000=2200 calories