Given the equation 3x − 4y = 8, which equation below would cause a consistent-dependent system? 3x 4y = −8 6x − 8y = 12 9x − 12y = 24 16x 12y = −10

Equation (c) 9x - 12y = 24  would cause a consistent-dependent system

Step-by-step explanation:

Given equation 3x − 4y = 8

We have to find the equation from the given option that would cause a consistent-dependent system.

A given system of linear equation

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

that is possible when is multiple of and is multiple of and this multiplication factor is same for both.

Thus, for the given equation  3x − 4y = 8

Only equation (c) 9x - 12y = 24 is a multiple of equation  3x − 4y = 8 with same factor of multiplication 3

Also, the slope of two equation is same

Thus, equation (c) 9x - 12y = 24  would cause a consistent-dependent system

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