Question

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

Answer 1

For this case we have the following system of equations:

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

Equaling the equations we have:

$- \frac {3} {4} x-2 = x + 6\\-2-6 = (1+ \frac {3} {4}) x\\-8 = \frac {7} {4} x\\-32 = 7x\\x = \frac {-32} {7}\\x = -4.57$

The variable y:

$y = -4.57 + 6 = 1.43$

Thus, we can round the solution as:

$(x, y): (- 4.5; 1.5)$

It is verified with the graph

Answer:

Option C