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EleoNora [17]
3 years ago
12

Solve the system equation

Mathematics
1 answer:
den301095 [7]3 years ago
4 0
<h2>Answer:</h2>

We will use substitution to solve this system for x.

x - 2y = 27\\y = 5x\\\\x - 2(5x) = 27\\\\x - 10x = 27\\\\-9x = 27\\\\x = -3

Now that we know what x is, we can determine y by pluging in -3 for x in one of the original equations. I will use the first one.

-3 - 2y = 27\\\\-2y = 30\\\\y = -15\\

We now have our solution.

D. (-3, -15)

We can check our answer by pluging the solution into one of the original equations to see if both sides equal each other. I will use the first equation.

-3 - 2(-15) = 27\\\\-3 + 30 = 27\\\\27 = 27

Since the equation checks out, our solution is correct.

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a shopkeeper buys coffee at 4.20 per kg and sells it at 63 cents per 100 g Calculate his profit percentage
Bingel [31]
420 cents for 1000 g. So 42 cents for 100 g (i crossed multiplied). %profit=63-42/42 *100=50%
7 0
2 years ago
Please help me right away.
velikii [3]
I’m pretty sure it’s c , sorry if it’s wrong tho
4 0
2 years ago
Please help!!!!!!!!!! !!
mestny [16]

Answer:

The ~length~ is ~9.6~ units ✔︎

༄❁༄❁༄❁༄❁༄

a=8\\b=2\\c=?\\d=?\\e=5

Using~ Pythagorean ~theorem:

c^2=a^2+b^2

c^2=(8)^2+(2)^2

\sqrt{c^2} =\sqrt{68}

c=\sqrt{68} ~or~2\sqrt{17}

»»---------------------►

d^2=c^2+e^2

d^2=(2\sqrt{17})^2+(5)^2

d^2=68+25

\sqrt{d^2} =\sqrt{93}

d=\sqrt{93} ~or~9.6

So, your~ answer ~is ~9.6

✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧

hope it helps...

have a great day!!

3 0
3 years ago
Read 2 more answers
Rachel, a 45-year-old female, bought a $120,000, 20-year life insurance policy through her employer. Rachel is paid biweekly.
Andrew [12]

Answer: the answer is $63.14.

Step-by-step explanation:

I took the test and got it correct.

7 0
2 years ago
1. Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations
sasho [114]

Answer:

The equation is y=2x^2+4x-7

Step-by-step explanation:

Let the quadratic function be


y=ax^2+bx+c


The point (-4,9) must satisfy this function,

\Rightarrow a(-4)^2+b(-4)+c=9


\Rightarrow 16a-4b+c=9...(1)


The point (0,-7) must also satisfy this function,

\Rightarrow a(0)^2+b(0)+c=-7


\Rightarrow c=-7...(2)



The point (1,-1) must also satisfy this function,

\Rightarrow a(1)^2+b(1)+c=-1


\Rightarrow a+b+c=-1...(3)


We put equation 2 into equation 1 to get;


\Rightarrow 16a-4b-7=9


\Rightarrow 16a-4b=16


\Rightarrow 4a-b=4...(5)


We again put equation 2 into equation 3 to get;


\Rightarrow a+b-7=-1


\Rightarrow a+b=6...(6)


We add equation 5 and 6 to get;

5a=10


\Rightarrow a=2


We put a=2 into equation 6 to get;


2+b=6


\Rightarrow b=6-2


\Rightarrow b=4


The equation is therefore y=2x^2+4x-7

5 0
2 years ago
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