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kvasek [131]
3 years ago
6

4. When Megan solved this system using the elimination method, she added the equations together and got the equation 4y = 16. Th

en she solved that equation and got y = 4. Then she substituted 4 in the first equation for y and solved for x. She got x = 4. The point (4, 4) is not the correct solution. Please state in a complete sentence where she made her first mistake. What is the correct solution to the system? 2x + 3y = 20 -2x + y = 4
Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0
Hi there!

So, our two equations are:
2x + 3y = 20 and
-2x + y = 4

We can see that the x's will cancel out because they're the same number, opposite signs. Then we're left with 4y = 24.

Divide 24 by 4, which is 6.

y = 6, then we plug that in to the first equation for y:
2x + 3(6) = 20
2x + 18 = 20
2x = 2
x = 1

So, she made her first mistake when adding the equations, adding 20 and 4, she somehow got 16. 

The solution to the system is (1,6).

I hope I helped!
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Solve the equation. Round to the nearest hundredth. Show work.
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Answer:

x=-0.75

Step-by-step explanation:

The given equation is

4^{-5x-7}=6^{2x-1}

We take logarithm of both sides to base 10.

\log(4^{-5x-7})=\log(6^{2x-1})

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We expand the brackets to get;

-5x\log(4)-7\log(4)=2x\log(6)-\log(6)

Group similar terms;

-7\log(4)+\log(6)=2x\log(6)+5x\log(4)

-7\log(4)+\log(6)=(2\log(6)+5\log(4))x

\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x

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To the nearest hundredth.

x=-0.75

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What is the sum of any rational number and its opposite and why
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For a walk-a-thon a sponsor committed to give you a flat free of $5 plus $2 for every mile m you walk
Iteru [2.4K]

Answer:

$45

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

For a walk-a-thon a sponsor committed to give you a flat fee of $5 plus $2 for every mile you walk. If you walk for 20 miles, what is the total amount you will collect from your sponsor at the end of the walk-a-thon?

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