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Elina [12.6K]
3 years ago
9

How do you solve the following system of equations by eliminating the y-values? I've already solved it by eliminating the x-valu

es so I know the answer is (-9/2, -10) but I'm having trouble getting that answer by eliminating the y-values.
2x-3y=21\\-6x+2y=7
Mathematics
1 answer:
AlexFokin [52]3 years ago
6 0

Step-by-step explanation:

The coefficients of the y terms are -3 and 2.  The least common multiple of 3 and 2 is 6.  So multiply the first equation by 2 and the second equation by 3, so that the y terms have a coefficient of 6.

4x − 6y = 42

-18x + 6y = 21

The signs are opposite, so add the equations together.

-14x = 63

x = -9/2

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The 1-inch diameter pizza bite for $1 or the 10 inch diameter pizza for $10
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Which expressions are equivalent to −tan⁡ θ?
zzz [600]

Answer:

−1/cotθ

1/cot(−θ)

tan(−θ)

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7 0
3 years ago
25 points for this please help with step by step
Svetllana [295]

a) 20.9

    The mean is calculated by adding up the scores and dividing the total by the number of scores, it is also called the average.

    First, we can count and see there are 11 players (makes sense for a football team). Adding up the ages gives us 19 + 19 + 20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 = 230. Divide by 11 and we get a mean of of about 20.9!

b) 30

To figure this out, we will set up an equation that looks like this:

\frac{19 + 19 + 20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23+x}{12} =22

And now we will solve:

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[subtract 130 from both sides] x = 30

So the age of the new player should be 30!

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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3. A carpenter is framing a window with wood trim where the length of the window is 6 and 2\3 feet. If the width of the window i
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We can see that window is in shape of rectangle. So the length of the required wood to frame window is equal to the perimeter of rectangle.

SO the length of rectangular window is = 6 \frac{2}{3} =  \frac{20}{3} feet.

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So the required length of wood to frame window is = 28.834 feet
3 0
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