Question

Estimate the solution to the following system of equations by graphing.

Answer 1

We have that
3x+5y=14
6x-4y=9

using a graph tool
see the attached figure

the exact solution is the point (2.41,1.36)

1.(5/2, 4/3)-----> (2.5,1.33)--------> is the best approximation
2.(4/3, 5/2)------> (1.33,2.5)
3.(7/3, 7/2)------> (2.33,3.5)
4.(-5/2,-7/5)----> (-2.5,-1.4)

the answer is

the estimate solution is the option 
1.(5/2, 4/3)

Answer 2

1. You have the following system of equation given in the problem:

 3x + 5y = 14
 6x - 4y = 9

 2. When you use a graph to solve the system above, you obtain the graph attached.

 3. As you can see in the graph attached, the solution is:

 x=5/2  
 y=4/3

 4. Therefore, you can conclude that the correct answer is the first option.

 The answer is: 1.(5/2, 4/3)