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Chapter 11: Q. 189 (page 1147)

In the following exercises, solve the system of equations by using graphing.

y=6x-4y=2x2

Short Answer

Expert verified

The solution of the system is(1,2)and(2,8).

Step by step solution

01

Step 1. Given Information

The given system of equations is

y=6x-4y=2x2

02

Step 2. Graph the Functions 

  • Plot the graphs of y=6x-4andy=2x2on the same graph.

  • The blue line represents the first equation and the red line represents the second equation of the system.
03

Step 3. Determine the point of intersection 

  • From the graph, it is observed that the functions intersect at(1,2)and(2,8).
  • So, the solution of the system is(1,2)and(2,8).

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