Graph the equations to solve the system. y= -1/2x-7 -2y=x+14

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19-04-2019
Mathematics

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Graph the equations to solve the system. y= -1/2x-7 -2y=x+14

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kudzordzifrancis kudzordzifrancis · Answer 1 · 2019-04-19T22:20:01+02:00

ANSWER

Infinitely many solutions

EXPLANATION

The given system of equations is:

[tex]y = - \frac{1}{2} x - 7[/tex]

[tex] - 2y = x + 14[/tex]

The graph of the two equations are shown in the attachment.

The solution to the system of equations represented by the two straight lines is the point of intersection of the two straight lines.

We can see from the graph that both lines coincide with each other.

One line is lying exactly on the other.

Their point of intersections cannot be counted.

The system is consistent and dependent, hence the system has infinitely many solutions.