Question

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

Answer 1

Answer:

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.

Step-by-step 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.