Question

Which equation can pair with 3x + 4y = 8 to create a consistent and independent system? 6x + 8y = 16 –3x – 4y = –6 6x – 3y = 2 –3x – 4y = –8

Answer 1

The right answer is C)

Consistent and independent system of two linear equations is a system such that there is only one solution for the system, that is, the two straight lines cross at a point. So we can analyze each case and I have attached some graphs to provided you with examples. Those graphs aren't about the equations but it's about general cases:

A) Consistent and dependent. If we divide this given equation by 2 we get the same line. (See Figure 1)

B) Inconsistent. No solutions. (See Figure 2)

C) Consistent and Independent. (See Figure 3)

D) Consistent and dependent.

Answer 2

Answer:

c

Step-by-step explanation: