Question

1. solve the system by using a table

{ -0.6x - 0.6y = -0.6
0.5x - 0.3y = -2.7 }

a. (4,-3)
b. (-3,4)
c. (-4,-3)
d. (-3,-4)

2. without graphing, is the system independent, dependent, or inconsistent?
{ 12x + 3y = 12
y = -4x +5 }

Answer 1

x | -0.6x - 0.6y = -0.6 | 0.5x - 0.3y = -2.7 |
| y | y
-4 | 5 | 2 1/3
-3 | 4 | 4

From the table, solution is (-3, 4)

12x + 3y = 12 => 3(4x + y) = 12. . . (1)
y = -4x + 5 => 4x + y = 5 . . . (2)

Since, the left hand side of (2) is a factor of the left hand side of (1), the system is dependent.