Question

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

Answer 1

Answer:

(-0.23,5.77)

Step-by-step 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:

$x + 34x = - 2 - 6$

$35x = - 8$

$x = - \frac{8}{35}$

$x \approx - 0.23$

Put this value into the second equation to get y

$y = - 0.23 + 6 \approx 5.77$

(-0.23,5.77)