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

Which ordered pair is the best estimate for the solution

leomessifanboy678

14.03.2022

(-0.23,5.77)

Step-by-step explanation:

The given system of equations is

y = - 34x - 2...(1)

y = x + 6...(2)

We equate both equations to get:

x + 6 = - 34x - 2

Group similar terms to get:

x + 34x = - 2 - 6

35x = - 8

$x = - \frac{8}{35}$

$x \approx - 0.23$

Put this value into the second equation to get y

$y = - 0.23 + 6 \approx 5.77$

(-0.23,5.77)

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dontcareanyonemo

06.08.2022

1) $DIAGRAM \mapsto B$

2) DEFINITION $\mapsto A$

3) THEOREM $\mapsto C$

4) POSTULATE $\mapsto D$

Step-by-step explanation:

1) DIAGRAM B) A visual tool representing mathematical ideas to be interpreted

A diagram is the depiction or representation of information using symbols

2) DEFINITION A) A formal statement declaring the meaning of a word

A definition is a statement that outlines the meaning of a word or a group of words or a diagram, or a symbol or sign

3) THEOREM C) A mathematical statement proven using postulates and definitions

A general statement of a proposition that is by itself not evident, but given proof by a combination of postulates

4) POSTULATE D) A mathematical statement taken as a fact

An assumed truth taken as the foundation for further reasoning

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