Question

Which ordered pair is best estimate for the solution of the system of equations Y=3/2x plus 6, y equals 1/4 X -2

Answer 1

x = -6.4 and y = -3.6

Explanation:

The given system of equations are :

`y=(3)/(2)x+6` ....(1)

and

`y=(x)/(4)-2` ....(2)

We need to solve equation (1) and (2).

From equation (1) and (2),

`(3)/(2)x+6=(x)/(4)-2`

Taking like terms together,

`(3)/(2)x-(x)/(4)=-2-6\\\\(6x-x)/(4)=-8\\\\x=-6.4`

Put the value of x in equation (1).

`y=(3)/(2)(-6.4)+6\\\\=-3.6`

So, the values of x and y are x = -6.4 and y = -3.6