Question

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

y=−25x−2y=5x+1

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(−0.5, −1.75)

(0, −2)

(−0.5, −1)

(−1, −2)

Answer 1

Answer:0,-2

Explanation:

Answer 2

The ordered pair of the solution is (0.022, -0.55). None of the alternatives given we can consider as the best estimate because there isn't at least one positive value for x, when it's actually positive. Picking (0, -2) as the best estimate is also far from the best estimate.

Explanation:

Let's solve the system of equations:

y = −25x

−2y = 5x+1

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Substituting y in the 2nd equation:

-2 (-25x) = 5x + 1

50x = 5x + 1

45x = 1

x = 1/45

x = 0.022

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Solving for y in the 1st equation:

y = -25 (0.022)

y = - 0.55

The ordered pair of the solution is (0.022, -0.55). None of the alternatives given we can consider as the best estimate because there isn't at least one positive value for x, when it's actually positive. Picking (0, -2) as the best estimate is also far from the best estimate.