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brilliants [131]
3 years ago
11

Which expression gives the x-coordinate of the solution of the system?

Mathematics
1 answer:
aalyn [17]3 years ago
7 0
To find the the expression that gives the value of x we are going to proceed as follows: 
5x+3y=-18 equation (1)
2x-4y=-28 equation (1)

Step 1. solve for y in equation (2)
2x-4y=-28
-4y=-28-2x
y= \frac{-28-2x}{-4}
y=7+ \frac{1}{2} x equation (3)

Step 3. Replace equation (3) in equation (1) and solve for x
5x+3y=-18
5x+3(7+ \frac{1}{2} x)=-18
5x+21+ \frac{3}{2} x=-18
\frac{13}{2} x=-39
x= \frac{-39(2)}{(13)}
x=-6

We can conclude that the expression that gives the value of x is: x=-6
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Answer:

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Step-by-step explanation:

<u>Complete Question:</u>

A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.  

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Solution:

A)

The rectangle has area of length * width

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Hence, the area will be:

Area = x(24 - x)

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B)

Domain is the set of x values that make the function defined.

The domain will be all values less than 24.

Because if you take 24, the area would be 0 [doesn't make sense]

if you take anything over 24, the area would be negative [not possible]

Hence, the domain is:

Domain = {x < 24}

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