Answered

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Which ordered pair is the best estimate for the solution to the system?



(4.8,5.2)

(5.5,4.3)

(5.1,4.8)

(6.5,5.2)

Which Ordered Pair Is The Best Estimate For The Solution To The System 4852 5543 5148 6552 class=

Sagot :

twk1998danny

Answer:

5.5, 4.333 or 13/3

Step-by-step explanation:

Use substitution method.

Answer:

(5.5, 4.3 )

Step-by-step explanation:

Given the 2 equations

4x - 15y = - 43 → (1)

2x - 3y = - 2 → (2)

Multiplying (2) by - 2 and adding to (1) eliminates the term in x

- 4x + 6y = 4 → (3)

Add (1) and (3) term by term to eliminate x, that is

- 9y = - 39 ( divide both sides by - 9 )

y = [tex]\frac{39}{9}[/tex] ≈ 4.3 ( to 1 dec. place )

Substitute this value into either of the 2 equations and solve for x

Substituting into (2)

2x - 3([tex]\frac{39}{9}[/tex] ) = - 2

2x - 13 = - 2 ( add 13 to both sides )

2x = 11 ( divide both sides by 2 )

x = 5.5

Best solution is (5.5, 4.3 )

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