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

Answer:

x = -6.4 and y = -3.6

Step-by-step explanation:

The given system of equations are :

$y=\dfrac{3}{2}x+6$ ....(1)

and

$y=\dfrac{x}{4}-2$ ....(2)

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

From equation (1) and (2),

$\dfrac{3}{2}x+6=\dfrac{x}{4}-2$

Taking like terms together,

$\dfrac{3}{2}x-\dfrac{x}{4}=-2-6\\\\\dfrac{6x-x}{4}=-8\\\\x=-6.4$

Put the value of x in equation (1).

$y=\dfrac{3}{2}(-6.4)+6\\\\=-3.6$

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