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Ad libitum [116K]
4 years ago
13

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

Mathematics
1 answer:
Brums [2.3K]4 years ago
7 0

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

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