The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)
The given system of equations is:
[tex]y=-\frac{1}{2}x + 4.......................(1)\\\\y = \frac{1}{2}x-3..........................(2)[/tex]
Equate equations (1) and (2)
[tex]-\frac{1}{2}x + 4=\frac{1}{2}x -3[/tex]
Solve for x in the equation above
[tex]-\frac{1}{2}x -\frac{1}{2}x =-3-4\\\\-x=-7\\\\x=7[/tex]
Substitute x = 7 into equation (1)
[tex]y=-\frac{1}{2}x + 4\\\\y=-\frac{1}{2}(7) + 4\\\\y=\frac{1}{2}[/tex]
The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)
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