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?

Question

Mathematics

Bobby Velazquez

11 January, 13:30

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?

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Answers (1)

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Everett Cortez · Answer 1

The set of equations has an infinite number of solutions

Step-by-step 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.