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Is algebra.

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  6.  C  multiply the first equation by -7 ...

  7.  A  parallel lines

Step-by-step explanation:

6. The idea of elimination is to create equations that have opposite coefficients for one of the variables. In this set of equations, there are two simple ways to achieve that.

On is to multiply the second equation by -2 (so x-coefficients are 4 in the first equation and -4 in the second equation).

The other is to multiply the first equation by -7 (so y-coefficients are -7 in the first equation and +7 in the second equation).

This latter method is described in answer choice C.

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7. Equations are more easily compared if they are in the same form. Here, "standard form" is nice. To put the second equation in standard form, we must remove a factor of 3 from all of the numbers:

  3(2x) +3(y) = 3(4)

  2x +y = 4

We see that this differs from the first equation only in that it has a different right-side constant. That means it describes a parallel line.

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