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Rhoda is asked to graph this system of equations:
5x-6y=4
3y+2x=7
How many times will the lines intersect?

A. The lines will not intersect
B. The lines will intersect once.
C. There is no way to tell without graphing the lines first.
D. The lines will intersect infinitely many times, because they are identical.

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Respuesta :

Medunno13

Answer: B. The lines will intersect once.

Step-by-step explanation:

Multiplying the bottom equation by 2, we get 6y+4x=14.

Adding this to the first equation, this gives 9x=18, and thus x=2.

Therefore, since this means there will be 1 solution, the lines will intersect once.

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