Which ordered pair is the best estimate for the solution of the system of equations? y=−2/5x−2y=5x+1 (−0.5, −1.75) <

Question

Which ordered pair is the best estimate for the solution of the system of equations? y=−2/5x−2y=5x+1

(−0.5, −1.75)

(−1, −2)

(0, −2)

(−0.5, −1)

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Ruby 3 weeks 2021-12-31T01:03:56+00:00 1 Answer 0 views 0

Answers ( )

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    2021-12-31T01:05:00+00:00

    Option a: (-0.5,-1.75) is the solution to the system of equations.

    Explanation:

    The equations are y=-\frac{2}{5} x-2 and y=5 x+1

    Equating these two equations, we have,

    -\frac{2}{5} x-2=5 x+1

    Taking LCM and multiplying both sides by 5, we get,

    -2 x-10=25 x+5

    Simplifying , we get,

    \begin{aligned}-10-5 &=25 x+2 \\-15 &=27 x \\-\frac{15}{27} &=x \\-\frac{5}{9}  &=x\end{aligned}

    Substituting the value of x in y=5 x+1, we get,

    \begin{aligned}&y=5\left(-\frac{5}{9}\right)+1\\&y=-\frac{25}{9}+1\\&y=-\frac{16}{9}\end{aligned}

    Thus, the solution is \left(-\frac{5}{9},-\frac{16}{9}\right)

    Changing the solution from fraction to decimal, we get, (-0.556,-1.778)

    Thus, the solution is (-0.5,-1.75)

    Hence, option a is the correct answer.

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