Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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

Sagot :

sqdancefan

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).

__

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
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.