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Paladinen [302]
3 years ago
6

Solve the system of linear equations by elimination. 3x+2y=3 3x−2y=−9

Mathematics
1 answer:
kondaur [170]3 years ago
6 0

Answer:

x=-1, y=3

Step-by-step explanation:

3x+2y=3

3x-2y=-9

since we have -2y and 2y we can just add the equations

6x=-6

x+0y=-1

x=-1

to solve x using elimination multiply the top equation by -1

-3x-2y= -3

3x-2y=-9

and add

0x-4y=-12

-4y=-12

y=3

and substitute x and y to double; check

3(-1)+2(3)=3

-3+6=3

3=3

checks out so these are correct

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3 years ago
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How many extraneous solutions does the equation below have?
FrozenT [24]

<u>Answer</u>

0


<u>Explanation</u>

(2m)/(2m+3)-(2m)/(2m-3)=1

Simplifying the left hand first

(2m)/(2m+3)-(2m)/(2m-3) = {2m(2m-3) - 2m(2m+3)}/(4m²-9)

                                        (4m²-6m-4m²-6m)/(4m²-9)

                                         = (-12m) / (4m²-9)

Now this equet to 1

(-12m) / (4m²-9) = 1

-12m =  4m²-9

4m²+ 12m -9 =0 ⇒⇒⇒ This is a quadratic equation that has 2 real solutions.

4m²+ 12m -9 =0

m² + 3m + (3/2)²= 9/4 + 9/4

(m + 3/2)² = 18/4

m = √18/2 - 3/2                or m = -√18/2 - 3/2

    = 0.621                                       = -3.621

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Answer = 0

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In Part C, you determined that the proper ratio of packages of buns, packages of patties, and jars of pickles is 3:2:4. If you w
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Answer:

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packages of patties = 840

Jars of pickles = 1,680

Step-by-step explanation:

packages of buns = 3

packages of patties = 2

Jars of pickles = 4

Number of people = 420

Each person of the 420 people gets packages of buns, packages of patties, and jars of pickles in the ratio 3:2:4

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Jars of pickles needed for 420 people = 4 × 420

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packages of patties = 840

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To feed at least 420 people minimum number of packages of buns, packages of patties, and jars of pickles needed is 1,260, 840, 1,680 respectively.

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