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What is the solution of the system? Use the elimination method. {−4x+y=−68x−2y=14 The only solution is (0, −32) . The only solution is (0, −6) . There is an infinite number of solutions. There is no solution.

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Assuming the equations are:

−4x+y=−6
8x−2y=14

The second equation can be rewritten (divide by -2) to 

-4x+y=-7

This system has no solutions. If you would draw them as lines, they are two parallel lines that never intersect.

Both given lines are parallel. Therefore, there is no solution.

Given equation are,

                             [tex]-4x+y=-6\\\\8x-2y=14[/tex]

Now, Both equation of line represent in slope intercept form y = mx + c

    [tex]y=4x-6\\\\y=4x-7[/tex]

Comparing above equation of line with equation y = mx +c

Slope of both lines = 4

Since, When two lines have same slope then both lines will be parallel i.e. never intersect.

Thus, there is no solution.

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