Question

Which ordered pair is the best estimate for the solution of the system of equations

Answer 1

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:

$y=-\frac{1}{2}x + 4.......................(1)\\\\y = \frac{1}{2}x-3..........................(2)$

Equate equations (1) and (2)

$-\frac{1}{2}x + 4=\frac{1}{2}x -3$

Solve for x in the equation above

$-\frac{1}{2}x -\frac{1}{2}x =-3-4\\\\-x=-7\\\\x=7$

Substitute x = 7 into equation (1)

$y=-\frac{1}{2}x + 4\\\\y=-\frac{1}{2}(7) + 4\\\\y=\frac{1}{2}$

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

Learn more on system of equations here: brainly.com/question/13729904