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Which ordered pair is the best estimate for the solution of the system of equations? y=−34x−2y=x+6

Answer :

kudzordzifrancis

Answer:

(-0.23,5.77)

Step-by-step explanation:

The given system of equations is

[tex]y = - 34x - 2...(1)[/tex]

[tex]y = x + 6...(2)[/tex]

We equate both equations to get:

[tex]x + 6 = - 34x - 2[/tex]

Group similar terms to get:

[tex]x + 34x = - 2 - 6[/tex]

[tex]35x = - 8[/tex]

[tex]x = - \frac{8}{35} [/tex]

[tex]x \approx - 0.23[/tex]

Put this value into the second equation to get y

[tex]y = - 0.23 + 6 \approx 5.77[/tex]

(-0.23,5.77)

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