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steposvetlana [31]
3 years ago
15

Use the elimination method to solve the system of equations.

Mathematics
1 answer:
tester [92]3 years ago
5 0

Answer:

(4.5,-6)

Step-by-step explanation:

2x-3y = 27\\4x+3y = 0

6x = 27

x = 27/6=4.5

9-3y = 27

-3y = 18

y = -6

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Vita wants to center a towel bar on her door that is 27 1/2 inches wide. She determines that the distance from each end of the t
timurjin [86]

Answer:

The equation is x+18 =\frac{55}{2}..

The length of the towel bar is \frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in..

Step-by-step explanation:

Given,

Length of the door = 27\frac{1}{2}\ in

we can rewrite 27\frac{1}{2}\ in as  \frac{55}{2}\ in.

We have to find out the length of the towel bar.

Let the length of towel bar be 'x'

`Since Vita wants that the distance from each end of the towel bar to the end of the door to be 9 inches.

So we can say that the length of the towel bar plus  from each end of the towel bar to the end of the door plus  from each end of the towel bar to the end of the door  is equal to length of door.

framing in equation form, we get;

x+9+9= \frac{55}{2}\\\\x+18 =\frac{55}{2}

Hence The equation is x+18 =\frac{55}{2}.

Now we solve the equation we get;

Subtracting both side by 18 we get;

x+18-18=\frac{55}{2}-18\\\\x=\frac{55}{2}-18

Now we will make the denominator common we get;

x=\frac{55}{2} -\frac{18\times2}2= \frac{55}{2} -\frac{36}2 = \frac{55-36}{2}=\frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in

Hence The length of the towel bar is \frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in.

6 0
4 years ago
Write an algebraic expression for the given word expression:<br> 4.7 less than a number k
meriva

Answer:

k-4.7

Step-by-step explanation:

It is k minus 4.7 because when it says less than it means the number that is stated before the phrase is being subtracted :)

6 0
3 years ago
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Ilya [14]

Answer:

y=2x+5

Step-by-step explanation:

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If there are 600 marbles in a jar, and 22% of them are red, how many are red
Blizzard [7]

Answer:

132

Step-by-step explanation:

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Jose borrowed $20,000 to buy a new speed boat. The interest rate on his loan is 5%. He will pay it back in 3 years. How much int
Fed [463]
There will be $3000 interest. He will pay $23,000 total.
Hope this helps and please give brainliest!
3 0
4 years ago
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