Question

Two lines, A and B, are represented by the following equations: Line A: 4x + 4y = 16 Line B: x + y = 4 Which statement is true about the solution to the set of equations?

Answer 1

The set of equations has an infinite number of solutions

Explanation:

The system of linear equations represented by the following equations:

Line A: 4x + 4y = 16 and Line B: x + y = 4 are dependent.

This is because both equations represent the same line;

if we divide both sides of the equation of line A by 4, we would obtain

x + y = 4, which is basically the equation of line B

If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.