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Solve the system of equation by graphing -x 4y=16 2x-3y=5

Sagot :

Sqdancefanidn

Answer:

  (x, y) = (13.6, 7.4)

Step-by-step explanation:

You want a graphical solution to the system of equations ...

  • -x +4y = 16
  • 2x -3y = 5

Graph

A graph of the system is attached. The point of intersection of the two lines is (x, y) = (13.6, 7.4).

The solution is (x, y) = (13.6, 7.4).

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Additional comment

Many utilities are available for graphing the equations. If you want to graph them by hand, it is helpful to find a couple of points on each line. Knowing one point and the slope is sufficient to help you find another point or two.

The first equation can be written as y = 1/4x +4, telling you the y-intercept is 4 and the slope is 1/4.

The second equation will be satisfied by the point (1, -1), and the graph will have a slope of 2/3.

View image Sqdancefan
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