Question

Which of the following systems has equations that are dependent?

y = 3x + 4
y = 3x - 4
Ox+y = 3
x - y = 1
O x = 2
2x = 4
y = - 2x + 3
y = -2x-3

Answer 1

The systems that have dependent equations are y = 3x + 4, y = 3x - 4, x = 2, and 2x = 4.

Step-by-step explanation:

The system of equations that is dependent is:

y = 3x + 4

y = 3x - 4

1. x = 2
2. 2x = 4

In a dependent system of equations, the equations represent the same line. This means that all points on one equation are also on the other equation. In this case, the first two equations are the same because they have the same slope and y-intercept. The third and fourth equations are also the same because they represent the same line. Therefore, the correct answer is y = 3x + 4 and y = 3x - 4 as well as x = 2 and 2x = 4.

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