Q:

Estimate the solution to the following system of equations by graphing.3x + 5y = 146x - 4y = 91.(5/2, 4/3)2.(4/3, 5/2)3.(7/3, 7/2)4.(-5/2, -7/5)

Accepted Solution

A:
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)