Question

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

y=−12x+4y=12x−3





(7, 0.5)


(7.5, 0.5)


(7, 1)


(7, 0)

Answer 1

`((7)/(24), 0.5)`

Explanation:

We have the system

`y=-12x+4\\y=12x-3`

To solve the system we equate the two equations and find the value of x. Then we replace the value found in the first equation.

`-12x+4=12x-3\\4+3=12x+12x\\7=24x\\x=(7)/(24)\\y=-12((7)/(24))+4=(-7)/(2)+4=(1)/(2)=0.5`

Then the solution of the system is the point
`((7)/(24), 0.5)` which does not correspond to any of the options given.