Question

Which ordered pair is the best estimate for the solution of the system of equations? y=−34x−2y=x+6

Answer 1

(-0.23,5.77)

Explanation:

The given system of equations is

`y = - 34x - 2...(1)`

`y = x + 6...(2)`

We equate both equations to get:

`x + 6 = - 34x - 2`

Group similar terms to get:

`x + 34x = - 2 - 6`

`35x = - 8`

`x = - (8)/(35)`

`x \approx - 0.23`

Put this value into the second equation to get y

`y = - 0.23 + 6 \approx 5.77`

(-0.23,5.77)