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Solve the following system of equations by graphing. y=-1/2 x -5 6x-2y=24

Solve the following system of equations by graphing. y=-1/2 x -5 6x-2y=24

Math   Prealgebra   
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Answer #1

The equation y = -(1/2)x -5 represents a line with slope -1/2 and y-intercept -5.

The equation 6x-2y = 24 or, 3x-y = 12 or, y = 3x-12 represents a line with slope 3 and y-intercept -12.

A graph of the line y = -(1/2)x -5 ( in red) and the line y = 3x-12 ( in blue) is attached. The two lines intersect at the point (2,-6). Therefore, x = 2 and y = -6 satisfies both the given equations as the point (2,-6) lies on both the lines.

Hence the solution is x = 2 and y = -6.

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